MACHIHARA Shuji 町原秀二

… Alternative Names

町原秀二マチハラシユウジ

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Researcher Number	20346373
Affiliation (Current)	2025: 埼玉大学, 理工学研究科, 教授
Affiliation (based on the past Project Information) *help	2017 – 2023: 埼玉大学, 理工学研究科, 教授 2014 – 2017: 埼玉大学, 理工学研究科, 准教授 2015: 埼玉大学, 教育学部, 准教授 2013: 埼玉大学, 理学部, 准教授 2007 – 2013: Saitama University, 教育学部, 准教授 2006: Shimane Univ., Dept. of Math., Associate Professor, 総合理工学部, 助教授 2003 – 2005: 島根大学, 総合理工学部, 助手
Review Section/Research Field	Principal Investigator Global analysis / Basic Section 12020:Mathematical analysis-related / Basic analysis Except Principal Investigator Basic analysis / Mathematical analysis / Medium-sized Section 12:Analysis, applied mathematics, and related fields / Global analysis
Keywords	Principal Investigator 非線形波動方程式 / 初期値問題非適切性 / 初期値問題適切性 / 非線形シュレディンガー方程式 / 非適切性 / ハーディの不等式 / 非線形ディラック方程式 / hypercontractivity / Blow up solution / nonlinear Dirac eq. … More / non-delay limit / 非線形熱方程式 / 消散型非線形波動方程式 / 球面調和関数 / trace theorem / ill-posedness / well-posedness / Dirac-Klein-Gordon / Thirring model / レリッヒの不等式 / Chern-Simons-Dirac / 非線形偏微分方程式 / ノルムインフレーション / シュレディンガー方程式 / 再配分関数 / Lorentz 空間 / Hardy の不等式 / Chern-Simons-Dirac方程式 / 適切性 / チャーンサイモンズ方程式 / 半相対論方程式 / トレース定理 / 初期値問題の適切性 / ディラック・クライン・ゴルドン / 解の存在定理 / フーリエ制限定理 / ディラック・クライン・ゴルドン方程式 / 微分方程式の初期値問題 / 非線形現象 / 関数方程式の大域理論 / 非線型波動方程式 / 非線型ディラック方程式 / 非斉次輸送方程式 / 双線形評価式 / ソボレフ空間 … More Except Principal Investigator p-Laplacian / 漸近解析 / 調和解析 / 大域的漸近安定性 / p-ラプラシアン / リエナール方程式系 / 極限閉軌道 / 半分線形微分方程式 / 収穫問題 / 個体数変動 / サイズ依存 / 定在波 / 非線形波動方程式 / 安定性 / 孤立波 / 非線形偏微分方程式 / 非線形シュレディンガー方程式 / 変分解析 / 函数空間論 / 函数方程式 / 実解析 / 関数空間論 / 関数方程式 / 数学解析 / 関数方程式の大域理論 / half-linear differential equation / global asymptotic stability / homoclinic orbit / limit cycle / Lienard system / phase plane analysis / oscillation / 時間遅れをもつ差分方程式系 / 自己随伴型非線形微分方程式 / homoclinic軌道 / 摂動項 / 楕円型方程式 / 解の振動性 / Lienard方程式系 / 被食者・捕食者モデル / p・ラプラシアン / ホモクリニック軌道 / 相平面解析 / 振動性 / muscle contraction / transport equation / time dependent / harvesting / size structured / population dynamics / nonlocal / 非局所非線形成長率 / 筋収縮 / 輸送方程式 / 時間依存 / 非局所条件 / parabolic equation / Sobolev function / Dirac equation / Bergman space / uniform domain / harmonic function / harmonic measure / capacity density condition / 熱方程式 / Fatou定理 / Carleson評価 / 内部一様領域 / 関数微分方程式 / 放物型方程式 / ソボレフ関数 / Dirac方程式 / ベルグマン空間 / 一様領域 / 調和関数 / 調和測度 / 容量密度条件 / ハーディー型不等式 / フーリエ制限定理 / クライン・ゴルドン方程式 / 非線型解析 / 非線形解析 / 散乱理論 / 時間大域解存在 / 重み付き関数 / ハートリー型 / 漸近挙動 / 時間大域解 / 散乱問題 / ハートリータイプ / ディラック方程式 / 波動方程式 / 変分問題 / 軌道安定性 / 非線形シュレデインガー方程式 / 不安定性 / 減衰項 / ハミルトン系 / フロッケ理論 / 一様安定性 / 漸近安定性 / 非振動定理 / 振動定理 / 線形微分方程式系 / サイズ / 最大原理 / 最適収穫問題 / 非線形成長率 / 爆発 / Ostrovsky方程式 / 変分法 / 爆発問題 / 安定性解析 / 非線形波動 / 定在波解 / 非線形クライン・ゴルドン方程式 Less

Nonrelativistic limit for the nonlinear Dirac equationPrincipal Investigator
- Principal Investigator
  
  Machihara Shuji
- Project Period (FY)
  2020 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Saitama University
古典場の理論における微分型相互作用の数学解析
- Principal Investigator
  
  小澤徹
- Project Period (FY)
  2019 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Review Section
  
  Medium-sized Section 12:Analysis, applied mathematics, and related fields
- Research Institution
  Waseda University
Existence or non-existence for the solutions of nonlinear wave equationsPrincipal Investigator
- Principal Investigator
  
  Machihara Shuji
- Project Period (FY)
  2016 – 2020
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Saitama University
Mathematical Analysis of Critical Interactions in Classical Fields
- Principal Investigator
  
  OZAWA Tohru
- Project Period (FY)
  2014 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Mathematical analysis
- Research Institution
  Waseda University
Study on oscillation and singularity in mass resonance
- Principal Investigator
  
  Tohru Ozawa
- Project Period (FY)
  2013 – 2015
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Mathematical analysis
- Research Institution
  Waseda University
wave equations and harmonic analysisPrincipal Investigator
- Principal Investigator
  
  MACHIHARA Shuji
- Project Period (FY)
  2012 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Saitama University
Stability analysis on solitary wave solutions for systems of nonlinear wave equations
- Principal Investigator
  
  OHTA Masahito
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Saitama University
On analysis of interacting nonlocal waves
- Principal Investigator
  
  TSUTAYA Kimitoshi
- Project Period (FY)
  2009 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Hirosaki University
  Hokkaido University
A New Departure for Phase Plane Analysis in Continuous and Discrete Dynamical Systems
- Principal Investigator
  
  SUGIE Jitsuro
- Project Period (FY)
  2007 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Shimane University
The Cauchy problem for the nonlinear wave equations of quantum mechanicPrincipal Investigator
- Principal Investigator
  
  MACHIHARA Shuji
- Project Period (FY)
  2007 – 2010
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Global analysis
- Research Institution
  Saitama University
STUDIES ON STABILITY OF SOLITARY WAVES AND BLOWUP OF SOLUTIONS FORNONLINEAR WAVE EQUATIONS
- Principal Investigator
  
  OHTA Masahito
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Saitama University
Theory of nonlocal nonlinear differential equations and optimization,and applications
- Principal Investigator
  
  KATO Nobuyuki
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Shimane University
Approach to the qualitative theory of functional equations by phase plane analysis
- Principal Investigator
  
  SUGIE J.
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Shimane University
相対論的場の偏微分方程式の初期値問題の適切性および非相対論的極限Principal Investigator
- Principal Investigator
  
  町原秀二
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Global analysis
- Research Institution
  Shimane University
Potential analysis
- Principal Investigator
  
  AIKAWA Hiroaki
- Project Period (FY)
  2003 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Hokkaido University
  Shimane University
ANALYSIS OF SYSTEMS OF DIFFERENTIAL EQUATIONS HAVING SEVERAL NONLOCAL TERMS AND APPLICATIONS
- Principal Investigator
  
  KATO Nobuyuki
- Project Period (FY)
  2003 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  SHIMANE UNIVERSITY

[Journal Article] Revisiting the Rellich inequality2023
- Author(s)
  N. Bez, S. Machihara, T. Ozawa
- Journal Title
  
  Mathematische Zeitschrift
  
  Volume: 303 Issue: 2 Pages: 49-49
- DOI
  10.1007/s00209-022-03203-4
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18KK0073, KAKENHI-PROJECT-19H01796, KAKENHI-PROJECT-19H00644
[Journal Article] Spherical harmonics and Hardy's inequalities2022
- Author(s)
  町原　秀二
- Journal Title
  
  数理解析研究所講究録,2235
  
  Volume: 1
- Data Source
  KAKENHI-PROJECT-20K03671
[Journal Article] Non-delay limit in the energy space from the nonlinear damped wave equation to the nonlinear heat equation2022
- Author(s)
  Inui Takahisa、Machihara Shuji
- Journal Title
  
  Journal of Hyperbolic Differential Equations
  
  Volume: 19 Issue: 03 Pages: 407-437
- DOI
  10.1142/s0219891622500126
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13444, KAKENHI-PROJECT-19KK0066, KAKENHI-PROJECT-19H00644
[Journal Article] Non-delay limit in the energy space from the nonlinear damped wave equation to the nonlinear heat equation2022
- Author(s)
  Takahisa Inui, Shuji Machihara
- Journal Title
  
  Journal of Hyperbolic Differential Equations
  
  Volume: 19
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03671
[Journal Article] Blowup solutions for the nonlinear Schr\"odinger equation with complex coefficient2020
- Author(s)
  S. Kawakami and S. Machihara
- Journal Title
  
  Differential Integral Equations
  
  Volume: 33
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03671
[Journal Article] A supersolutions perspective on hypercontractivity2020
- Author(s)
  Y. Aoki, J. Bennett, N. Bez, S. Machihara, K. Matsuura and S. Shiraki
- Journal Title
  
  Ann. Mat. Pura Appl. (4)
  
  Volume: 199 Issue: 5 Pages: 2105-2116
- DOI
  10.1007/s10231-020-00958-7
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03671, KAKENHI-PROJECT-19H01796, KAKENHI-PROJECT-20J11851
[Journal Article] Sharp ill-posedness of the Dirac-Klein-Gordon system in one dimension2020
- Author(s)
  Machihara Shuji, Okamoto Mamoru
- Journal Title
  
  Nonlinear Analysis
  
  Volume: 192 Pages: 111687-111687
- DOI
  10.1016/j.na.2019.111687
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-16K17624, KAKENHI-PROJECT-20K03671, KAKENHI-PROJECT-19H00644
[Journal Article] Blowup solutions for the nonlinear Schr\"odinger equation with complex coefficient2020
- Author(s)
  S. Kawakami, S. Machihara
- Journal Title
  
  Differential Integral Equations
  
  Volume: 33
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19H00644
[Journal Article] Hardy type inequalities with spherical derivatives2020
- Author(s)
  Bez Neal、 Machihara Shuji、 Ozawa Tohru
- Journal Title
  
  SN Partial Differ. Equ. Appl.
  
  Volume: 1, Issue 1 Issue: 1
- DOI
  10.1007/s42985-019-0001-1
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19H00644, KAKENHI-PROJECT-16K13771, KAKENHI-PROJECT-17H02855, KAKENHI-PROJECT-17H01097, KAKENHI-PROJECT-19H01796
[Journal Article] Remarks on the Hardy type inequalities with remainder terms in the framework of equalities2019
- Author(s)
  Machihara Shuji, Ozawa Tohru, Wadade Hidemitsu
- Journal Title
  
  Adv. Studies Pure Math.
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26247014
[Journal Article] Remarks on the Rellich inequality2017
- Author(s)
  S. Machihara, T. Ozawa, H. Wadade
- Journal Title
  
  Mathematische Zeitschrift
  
  Volume: 印刷中 Issue: 3-4 Pages: 1367-1373
- DOI
  10.1007/s00209-016-1805-8
- NAID
  120005982988
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24224004, KAKENHI-PROJECT-26247014, KAKENHI-PROJECT-16H03940, KAKENHI-PROJECT-16K21056, KAKENHI-PROJECT-16KT0024, KAKENHI-PROJECT-16K05191, KAKENHI-PROJECT-16K13771, KAKENHI-PROJECT-17H01097
[Journal Article] Remarks on the Hardy type inequalities with remainder terms in the framework of equalities2017
- Author(s)
  S. Machihara, T. Ozawa, H. Wadade
- Journal Title
  
  Adv. Studies Pure Math.
  
  Volume: 印刷中
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-26247014
[Journal Article] Global wellposedness for a one-dimensional Chern-Simons-Dirac system in L^p2017
- Author(s)
  Machihara, Shuji and Ogawa, Takayoshi
- Journal Title
  
  Comm. Partial Differential Equations
  
  Volume: 42 Issue: 8 Pages: 1175-1198
- DOI
  10.1080/03605302.2017.1330339
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05191, KAKENHI-PROJECT-26247014, KAKENHI-PROJECT-25220702, KAKENHI-PROJECT-20K20284
[Journal Article] Well-posedness for the dimension-reduced Chern-Simons-Dirac system2017
- Author(s)
  Shuji Machihara and Mamoru Okamoto
- Journal Title
  
  Journal of Evolution Equations
  
  Volume: 印刷中 Issue: 3 Pages: 1031-1048
- DOI
  10.1007/s00028-016-0371-1
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-16K17624, KAKENHI-PROJECT-16K05191
[Journal Article] Remarks on ill-posedness for the Dirac-Klein-Gordon system2016
- Author(s)
  S. Machihara, M. Okamoto
- Journal Title
  
  Dyn. Partial Differ. Equ.
  
  Volume: 13 Issue: 3 Pages: 179-190
- DOI
  10.4310/dpde.2016.v13.n3.a1
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-26247014, KAKENHI-PROJECT-16K05191, KAKENHI-PROJECT-16K17624
[Journal Article] Extremisers for the trace theorem on the sphere2016
- Author(s)
  N. Bez, S. Machihara, M. Sugimoto
- Journal Title
  
  Math. Res. Lett.
  
  Volume: 23 Issue: 3 Pages: 633-647
- DOI
  10.4310/mrl.2016.v23.n3.a3
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26247014, KAKENHI-PROJECT-16H03940, KAKENHI-PROJECT-26287022, KAKENHI-PROJECT-16K05191
[Journal Article] Well-posedness and ill-posedness of the Cauchy problem for the generalized Thirring model2016
- Author(s)
  Huh, Hyungjin and Shuji Machihara and Mamoru Okamoto
- Journal Title
  
  Differential and Integral Equations
  
  Volume: 29
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05191
[Journal Article] Well-posedness and ill-posedness of the Cauchy problem for the generalized Thirring model2016
- Author(s)
  H. Huh, S. Machihara, M. Okamoto
- Journal Title
  
  Differential Integral Equations
  
  Volume: 29 Pages: 401-420
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26247014
[Journal Article] Sharp well-posedness and ill-posedness the Chern-Simons-Dirac system in one dimension2016
- Author(s)
  Shuji Machihara and Mamoru Okamoto
- Journal Title
  
  Int. Math. Res. Not.
  
  Volume: 2016 (6) Issue: 6 Pages: 1640-1694
- DOI
  10.1093/imrn/rnv160
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-26887017, KAKENHI-PROJECT-26247014, KAKENHI-PROJECT-16K05191
[Journal Article] Remark on a semirelativistic equation in the energy space2015
- Author(s)
  Ozawa, Tohru and Machihara, Shuji and Fujiwara, Kazumasa
- Journal Title
  
  Discrete Contin. Dyn. Syst., Dynamical systems, differential equations and applications
  
  Volume: 10th AIMS Conference
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-24540202
[Journal Article] Well-posedness for the Cauchy problem for a system of semirelativistic equations2015
- Author(s)
  K. Fujiwara, S. Machihara, T. Ozawa
- Journal Title
  
  Commun. Math. Phys.
  
  Volume: 338 Issue: 1 Pages: 367-391
- DOI
  10.1007/s00220-015-2347-3
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24224004, KAKENHI-PROJECT-26247014, KAKENHI-PROJECT-14J07371, KAKENHI-PROJECT-25610027
[Journal Article] Remark on a semirelativistic equation in the energy space2015
- Author(s)
  K. Fujiwara, S. Machihara, T Ozawa
- Journal Title
  
  Discrete and Continuous Dynamical Systems, Suppl
  
  Volume: - Pages: 473-478
- DOI
  10.3934/proc.2015.0473
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26247014, KAKENHI-PROJECT-14J07371
[Journal Article] Well-posedness for the Cauchy problem for a system of semirelativistic equations2015
- Author(s)
  Fujiwara, Kazumasa and Machihara, Shuji and Ozawa, Tohru
- Journal Title
  
  Comm. Math. Phys.
  
  Volume: 338
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-24540202
[Journal Article] On a system of semirelativistic equations in the energy space2015
- Author(s)
  K. Fujiwara, S. Machihara, T. Ozawa
- Journal Title
  
  Commun. Pure Appl. Anal.
  
  Volume: 14 Pages: 1343-1355
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25610027
[Journal Article] On a system of semirelativistic equations in the energy space2015
- Author(s)
  K. Fujiwara, S. Machihara, T. Ozawa
- Journal Title
  
  Commun. Pure Appl. Anal.
  
  Volume: 14 Pages: 1343-1355
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26247014
[Journal Article] Ill-posedness of the Cauchy problem for the Chern-Simons-Dirac system in one dimension2015
- Author(s)
  Shuji Machihara and Mamoru Okamoto
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 258 Issue: 4 Pages: 1356-1394
- DOI
  10.1016/j.jde.2014.10.020
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-26887017, KAKENHI-PROJECT-26247014
[Journal Article] On a system of semirelativistic equations in the energy space2015
- Author(s)
  Fujiwara, Kazumasa and Machihara, Shuji and Ozawa, Tohru
- Journal Title
  
  Commun. Pure Appl. Anal.
  
  Volume: 14
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540202
[Journal Article] Ill-posedness of the Cauchy problem for the Chern-Simons-Dirac system in one dimension2015
- Author(s)
  Machihara, Shuji and Okamoto, Mamoru
- Journal Title
  
  J. Differential Equations
  
  Volume: 258
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-24540202
[Journal Article] Scaling invariant Hardy inequalities of multiple logarithmic type on the whole space2015
- Author(s)
  Machihara, Shuji and Ozawa, Tohru and Wadade, Hidemitsu
- Journal Title
  
  J. Inequal. Appl.
  
  Volume: -
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-24540202
[Journal Article] Scaling invariant Hardy inequalities of multiple logarithmic type on the whole space2015
- Author(s)
  S. Machihara, T. Ozawa, H. Wadade
- Journal Title
  
  Journal of Inequalities and Applications
  
  Volume: 2015:281 Issue: 1 Pages: 281-281
- DOI
  10.1186/s13660-015-0806-1
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-24224004, KAKENHI-PROJECT-26247014, KAKENHI-PROJECT-25610027, KAKENHI-PROJECT-25287025
[Journal Article] A note on the Chern-Simons-Dirac equations in the Coulomb gauge2014
- Author(s)
  N. Bournaveas, T. Candy, S. Machihara
- Journal Title
  
  Discrete and Continuous Dynamical Systems. Series A
  
  Volume: 34 Pages: 2693-2701
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26247014
[Journal Article] A note on the Chern-Simons-Dirac equations in the Coulomb gauge2014
- Author(s)
  Bournaveas, Nikolaos and Candy, Timothy and Machihara, Shuji
- Journal Title
  
  Discrete and Continuous Dynamical Systems. Series A
  
  Volume: 34
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540202
[Journal Article] On the semilinear Schr\"odinger equation with time dependent coefficients2014
- Author(s)
  T. Gonda, S. Machihara, T. Ozawa
- Journal Title
  
  Math. Nachr.
  
  Volume: 287 Issue: 17-18 Pages: 1986-2001
- DOI
  10.1002/mana.201200108
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24224004, KAKENHI-PROJECT-26247014
[Journal Article] Notes on the paper entitled `Generalizations of the logarithmic Hardy inequality in critical Sobolev-Lorentz spaces’2014
- Author(s)
  S. Machihara, T. Ozawa, H. Wadade
- Journal Title
  
  J. Ineq. Appl.
  
  Volume: 2014:253 Issue: 1
- DOI
  10.1186/1029-242x-2014-253
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-24224004, KAKENHI-PROJECT-26247014
[Journal Article] On the Hardy type inequality in critical Sobolev-Lorentz spaces2014
- Author(s)
  S. Machihara, T. Ozawa, H. Wadade
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: 49 Pages: 103-118
- Data Source
  KAKENHI-PROJECT-26247014
[Journal Article] On the semilinear Schr\"odinger equation with time dependent coefficients2014
- Author(s)
  Gonda, Takuya and Machihara, Shuji and Ozawa, Tohru
- Journal Title
  
  Mathematische Nachrichten
  
  Volume: 287
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540202
[Journal Article] Some inequalities related to the Lorentz spaces2013
- Author(s)
  Machihara Shuji, Ozawa Tohru
- Journal Title
  
  Hokkaido Mathematical Journal
  
  Volume: 42 Pages: 247-267
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540202
[Journal Article] Hardy type inequalities on balls2013
- Author(s)
  Machihara Shuji, Ozawa Tohru, Wadade Hidemitsu
- Journal Title
  
  The Tohoku Mathematical Journal. Second Series
  
  Volume: 65 Pages: 321-330
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540202
[Journal Article] Generalizations of the logarithmic Hardy inequality in critical Sobolev-Lorentz spaces2013
- Author(s)
  Machihara Shuji, Ozawa Tohru, Wadade Hidemitsu
- Journal Title
  
  Journal of Inequalities and Applications
  
  Volume: 381 Pages: 14-14
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540202
[Journal Article] Well-posedness for nonlinear Dirac equations in one dimension2010
- Author(s)
  Machihara, S., Nakanishi, K., Tsugawa, K.
- Journal Title
  
  Kyoto J.Math. 50
- Data Source
  KAKENHI-PROJECT-19740087
[Journal Article] Well-posedness for nonlinear Dirac equations in one dimension2010
- Author(s)
  Machihara Shuji, Nakanishi Kenji, Tsugawa Kotaro
- Journal Title
  
  Kyoto Journal of Mathematics
  
  Volume: 50 Pages: 403-451
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740087
[Journal Article] Scattering Theory for the Dirac Equation with a Nonlocal Term2009
- Author(s)
  S.Machihara, K.Tsutaya
- Journal Title
  
  Proceedings of the Royal Society of Edinburgh 139A
  
  Pages: 867-878
- NAID
  120006459584
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540206
[Journal Article] cattering theory for the Dirac equation with a non-local term2009
- Author(s)
  Machihara, S., Tsutaya, K.
- Journal Title
  
  Proc.Roy.Soc.Edinburgh Sect.A 139
- Data Source
  KAKENHI-PROJECT-19740087
[Journal Article] Scattering theory for the Dirac equation of Hartree type in 2+1 dimensions2009
- Author(s)
  S. Machihara and K. Tsutaya
- Journal Title
  
  Nonlinear Analysis, Theory, Methods and Applications
  
  Volume: 71, no.12 Issue: 12 Pages: e2437-e2441
- DOI
  10.1016/j.na.2009.05.059
- NAID
  120002148676
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540206
[Journal Article] Scattering theory for the Dirac equation with a non-local term2009
- Author(s)
  Machihara, Shuji, Tsutaya, Kimitoshi
- Journal Title
  
  Proceedings of the Royal Society of Edinburgh. Section(A.Mathematics) 139
  
  Pages: 867-878
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740087
[Journal Article] Scattering theory for the Dirac equation of Hartree type in 2+1 dimensions2009
- Author(s)
  Machihara, S., Tsutaya, K.
- Journal Title
  
  Nonlinear Anal. 71
- Data Source
  KAKENHI-PROJECT-19740087
[Journal Article] Scattering theory for the Dirac equation of Hartree type in 2+1 dimensions2009
- Author(s)
  S.Machihara, K.Tsutaya
- Journal Title
  
  Nonlinear Analysis, Theory, Methods and Applications 71
- NAID
  120002148676
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540206
[Journal Article] Scattering Theory for the Dirac Equation with a Nonlocal Term2009
- Author(s)
  S. Machihara and K. Tsutaya
- Journal Title
  
  Proceedings of the Royal Society of Edinburgh
  
  Volume: 139A Pages: 867-878
- NAID
  120006459584
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540206
[Journal Article] Scattering Theory for the Dirac Equation with a Nonlocal Term2009
- Author(s)
  Shuji Machihara, Kimitoshi Tsutaya
- Journal Title
  
  Proceedings of the Royal Society of Edinburgh, Section A. Vol.139
  
  Pages: 867-878
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740087
[Journal Article] The Cauchy problem for the 1-D Dirac-Klein-Gordon equation2007
- Author(s)
  S. Machihara
- Journal Title
  
  NoDEA Nonlinear Differential Equations and Applications 14
  
  Pages: 625-641
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540182
[Journal Article] Dirac equation with certain quadratic nonlinearities in one space dimension2007
- Author(s)
  S. Machihara
- Journal Title
  
  Commun. Contemp. Mathematics 9
  
  Pages: 421-435
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540182
[Journal Article] The explicit solutions to the nonlinear Dirac equation and Dirac-Klein-Gordon equation2007
- Author(s)
  Machihara, S., Omoso, T.
- Journal Title
  
  Ric.Mat. 56
- Data Source
  KAKENHI-PROJECT-19740087
[Journal Article] The Cauchy problem for the 1-D Dirac-Klein-Gordon equation2007
- Author(s)
  Machihara, S.
- Journal Title
  
  NoDEA Nonlinear Differential Equations Appl. 14
- Data Source
  KAKENHI-PROJECT-19740087
[Journal Article] Dirac equation with certain quadratic nonlinearities in one space dimension2007
- Author(s)
  Machihara, S.
- Journal Title
  
  Commun. Contemp. 9
- Data Source
  KAKENHI-PROJECT-19740087
[Journal Article] Dirac equation with certain quadratic nonlinearities in one space dimension2007
- Author(s)
  Machihara Shuji
- Journal Title
  
  Communications in Contemporary Mathematics 9
  
  Pages: 421-435
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740087
[Journal Article] Bilinear estimates for the transport equations2007
- Author(s)
  Machihara, S.
- Journal Title
  
  Asymptotic analysis and singularities-hyperbolic and dispersive PDEs and fluid mechanics 47
  
  Pages: 189-196
- Data Source
  KAKENHI-PROJECT-19740087
[Journal Article] The explicit solutions to the nonlinear Dirac equation and Dirac-Klein-Gordon equation2007
- Author(s)
  Shuji Machihara, Takayuki Omoso
- Journal Title
  
  Ricerche di Matematica Vol.56
  
  Pages: 19-30
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740087
[Journal Article] Bilinear estimates for the transport equations, asymptotic analysis and singularities------hyperbolic and dispersive PDEs and fluid mechanics2007
- Author(s)
  S. Machihara
- Journal Title
  
  Advanced Studies in Pure Mathematics 47
  
  Pages: 189-196
- Data Source
  KAKENHI-PROJECT-19540182
[Journal Article] Bilinear estimates for the transport equations2007
- Author(s)
  S.Machihara
- Journal Title
  
  Advanced Studies in Pure Mathematics (to appear)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340046
[Journal Article] The Cauchy problem for the 1-D Dirac-Klein-Gordon equation2007
- Author(s)
  Shuji Machihara
- Journal Title
  
  Nonlinear Differential Equations and Applications NoDEA Vol.14
  
  Pages: 625-641
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740087
[Journal Article] Dirac equation with certain quadratic nonlinearities in one space dimension2007
- Author(s)
  Shuji Machihara
- Journal Title
  
  Communications in Contemporary Mathematics Vol.9
  
  Pages: 421-435
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740087
[Journal Article] The explicit solutions to the nonlinear Dirac equation and Dirac-Klein-Gordon equation2007
- Author(s)
  S. Machihara, T. Omoso
- Journal Title
  
  Ricerche di Matematica 56
  
  Pages: 19-30
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540182
[Journal Article] The explicit solutions to the nonlinear Dirac equation and Dirac-Klein-Gordon equation2007
- Author(s)
  Machihara Shuji and Omoso Takayuki
- Journal Title
  
  Ricerche di Matematica 56
  
  Pages: 19-30
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740087
[Journal Article] The Cauchy problem for the 1-D Dirac-Klein-Gordon equation2007
- Author(s)
  Machihara Shuji
- Journal Title
  
  NoDEA. Nonlinear Differential Equations and Applications 14
  
  Pages: 625-641
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740087
[Journal Article] Boundary behavior of monotone Sobolev functions on John domains in a metric space2006
- Author(s)
  S.Machihara
- Journal Title
  
  Advanced Studies in Pure Mathematics (to appear)
- Data Source
  KAKENHI-PROJECT-15340046
[Journal Article] Endpoint Strichartz estimates and global solutions for the nonlinear Dirac equation2005
- Author(s)
  Machihara Shuji, Nakamura Makoto, Nakanishi, Kenji, Ozawa, Tohru
- Journal Title
  
  Journal of Functional Analysis 219
  
  Pages: 1-20
- Data Source
  KAKENHI-PROJECT-15740105
[Journal Article] Endpoint Strichartz estimates and global solutions for the nonlinear Dirac equation2005
- Author(s)
  S.Machihara, M.Nakamura, K.Nakanishi, T.Ozawa
- Journal Title
  
  J. Funct. Anal. 219
  
  Pages: 1-20
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540152
[Journal Article] Endpoint Strichartz estimates and global solutions for the nonlinear Dirac equation2005
- Author(s)
  S.Machihara, K.Nakanishi, T.Ozawa
- Journal Title
  
  J. Functional Analysis 219
  
  Pages: 1-20
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340046
[Journal Article] Endpoint Strichartz estimates and global solutions for the nonlinear Dirac equation2005
- Author(s)
  S.Machihara
- Journal Title
  
  J.Functional Analysis 219
  
  Pages: 1-20
- Data Source
  KAKENHI-PROJECT-15340046
[Journal Article] One dimensional Dirac equation with quadratic nonlinearities2005
- Author(s)
  S.Machihara
- Journal Title
  
  Discrete Contin. Dynam. Systems 13
  
  Pages: 277-290
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540152
[Journal Article] Endpoint Strichartz estimates and global solutions for the nonlinear Dirac equation2005
- Author(s)
  S.Machihara, M.Nakamura, K.Nakanishi, T.Ozawa
- Journal Title
  
  Journal of Functional Analysis Vol.219, No.2
  
  Pages: 1-20
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540152
[Journal Article] One dimensional Dirac equation with quadratic nonlinearities2005
- Author(s)
  S.Machihara
- Journal Title
  
  Discrete and Continuous Dynamical Systems Vol.13, No.1-2
  
  Pages: 277-290
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540152
[Journal Article] One dimensional Dirac equation with quadratic nonlinearities2005
- Author(s)
  Shuji Machihara
- Journal Title
  
  Discrete and Continuous Dynamical systems - Series A 13
  
  Pages: 277-290
- Data Source
  KAKENHI-PROJECT-15740105
[Journal Article] One dimensional Dirac equation with quadratic nonlinearities2005
- Author(s)
  S.Machihara
- Journal Title
  
  Discrete and Continuous Dynamical Systems - Series A 13
  
  Pages: 277-290
- Data Source
  KAKENHI-PROJECT-15340046
[Journal Article] Endpoint Strichartz estimates and global solutions for the nonlinear Dirac equation2005
- Author(s)
  S.Machihara, M.Nakamura, K.Nakanishi, T.Ozawa
- Journal Title
  
  Journal of Functional Analysis Vol.219,No.1
  
  Pages: 1-20
- Data Source
  KAKENHI-PROJECT-16540152
[Journal Article] Endpoint Strichartz estimates and global solutions for the nonlinear Dirac equation2005
- Author(s)
  S.Machihara, M.Nakamura, T.Ozawa
- Journal Title
  
  J.Functional Analysis 219
  
  Pages: 1-20
- Data Source
  KAKENHI-PROJECT-15340046
[Journal Article] One dimensional Dirac equation with quadratic nonlinearities2005
- Author(s)
  S.Machihara
- Journal Title
  
  Discrete and Continuous Dynamical Systems-Series A 13
  
  Pages: 277-290
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340046
[Journal Article] Small global solutions for nonlinear Dirac equations2004
- Author(s)
  S.Machihara, M.Nakamura, T.Ozawa
- Journal Title
  
  Differential Integral Equations Vol.17,No.5-6
  
  Pages: 623-636
- Data Source
  KAKENHI-PROJECT-16540152
[Journal Article] Small global solutions for nonlinear Dirac equations2004
- Author(s)
  S.Machihara, M.Nakamura, T.Ozawa
- Journal Title
  
  Differential Integral Equations 17
  
  Pages: 623-636
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540152
[Journal Article] Small global solutions for nonlinear Dirac equations2004
- Author(s)
  S.Machihara, M.Nakamura, T.Ozawa
- Journal Title
  
  Differential Integral Equations Vol.17, No.5-6
  
  Pages: 623-636
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540152
[Journal Article] Small global solutions for the nonlinear Dirac equation2004
- Author(s)
  S.Machihara, M.Nakamura, T.Ozawa
- Journal Title
  
  RIMS Kokyukoku 1388
  
  Pages: 81-87
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540152
[Journal Article] Small global solutions for nonlinear Dirac equation2004
- Author(s)
  S.Machihara, M.Nakamura, T.Ozawa
- Journal Title
  
  Differential and Integral Equation 17
  
  Pages: 623-636
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340046
[Journal Article] Small global solutions and the nonrelativistic limit for the nonlinear Dirac equation2003
- Author(s)
  S.Machihara, K.Nakanishi, T.Ozawa
- Journal Title
  
  Revista Matematica Iberoamericana 19
  
  Pages: 179-194
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340046
[Journal Article] Small global solutions and the nonrelativistic limitfor the nonlinear Dirac equation2003
- Author(s)
  S.Machihara, K.Nakanishi, T.Ozawa
- Journal Title
  
  Revista Matematica Iberoamericana 19
  
  Pages: 179-194
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340046
[Journal Article] Dirac equation with certain quadratic nonlinearities in one space dimension
- Author(s)
  Shuji Machihara
- Journal Title
  
  Communications in Contemporary Mathematics (掲載が決定している)
- Data Source
  KAKENHI-PROJECT-15740105
[Journal Article] Scattering Theory for the Dirac Equation of Hartree Type in Two Dimensions
- Author(s)
  Shuji Machihara, Kimitoshi Tsutaya
- Journal Title
  
  Nonlinear Analysis Series A: Theory, Methods & Applications (to appear)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740087
[Journal Article] Bilinear estimates for the transport equations
- Author(s)
  S.Machihara
- Journal Title
  
  Advanced Studies in Pure Mathematics (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340046
[Journal Article] Bilinear estimates for the transport equations
- Author(s)
  Shuji Machihara
- Journal Title
  
  Advanced Studies in Pure Mathematics (掲載が決定している)
- Data Source
  KAKENHI-PROJECT-15740105
[Presentation] 等式から眺める Rellich の不等式2022
- Author(s)
  S. Machihara
- Organizer
  九州関数方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-19H00644
[Presentation] L2直交性から眺める Rellich の不等式2022
- Author(s)
  町原　秀二
- Organizer
  「解析学とその周辺」＠野田
- Invited
- Data Source
  KAKENHI-PROJECT-20K03671
[Presentation] 等式から眺める Rellich の不等式2022
- Author(s)
  町原　秀二
- Organizer
  九州関数方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K03671
[Presentation] L2直交性から眺める Rellich の不等式2022
- Author(s)
  S. Machihara
- Organizer
  解析学とその周辺
- Invited
- Data Source
  KAKENHI-PROJECT-19H00644
[Presentation] 球面微分とハーディの不等式2021
- Author(s)
  町原　秀二
- Organizer
  Workshop on Analysis in Kagurazaka 2021
- Invited
- Data Source
  KAKENHI-PROJECT-20K03671
[Presentation] Spherical harmonics and Hardy's inequalities2021
- Author(s)
  S. Machihara
- Organizer
  2021 RIMS共同研究(公開型)「量子場の数理とその周辺」
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19H00644
[Presentation] 球面微分とハーディの不等式2021
- Author(s)
  S. Machihara
- Organizer
  Workshop on Analysis in Kagurazaka 2021
- Invited
- Data Source
  KAKENHI-PROJECT-19H00644
[Presentation] Spherical harmonics and Hardy's inequalities2021
- Author(s)
  Shuji Machihara
- Organizer
  RIMS共同研究(公開型)「量子場の数理とその周辺」
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03671
[Presentation] Spherical Harmonics and Hardy’s equality2020
- Author(s)
  Machihara Shuji
- Organizer
  Recent Progress on Dispersive and Wave Equations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19H00644
[Presentation] Spherical Harmonics and Hardy’s equality2020
- Author(s)
  Machihara Shuji
- Organizer
  Recent Progress on Dispersive and Wave Equations
- Data Source
  KAKENHI-PROJECT-16K05191
[Presentation] 非線形シュレディンガー方程式の有限時間爆発解に対する注意2019
- Author(s)
  町原　秀二
- Organizer
  反応拡散方程式と非線形分散型方程式の解の挙動
- Invited
- Data Source
  KAKENHI-PROJECT-16K05191
[Presentation] The range of Sobolev regularity for the well-posedness of the Dirac-Klein-Gordon system in 1d2019
- Author(s)
  町原　秀二
- Organizer
  第11回名古屋微分方程式研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-16K05191
[Presentation] 非線形シュレディンガー方程式の有限時間爆発解に対する注意2019
- Author(s)
  Machihara Shuji
- Organizer
  反応拡散方程式と非線形分散型方程式の解の挙動
- Invited
- Data Source
  KAKENHI-PROJECT-26247014
[Presentation] The range of Sobolev regularity for the well-posedness of the Dirac-Klein-Gordon system in 1d2019
- Author(s)
  Machihara Shuji
- Organizer
  第11回名古屋微分方程式研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-26247014
[Presentation] The range of Sobolev regularity for the well-posedness of the Dirac-Klein-Gordon system in 1d2018
- Author(s)
  町原　秀二
- Organizer
  Workshop on nonlinear wave equations and related topics in Kobe
- Invited
- Data Source
  KAKENHI-PROJECT-16K05191
[Presentation] The range of Sobolev regularity for the well-posedness of the Dirac-Klein-Gordon system in 1d2018
- Author(s)
  Machihara Shuji
- Organizer
  Workshop on nonlinear wave equations and related topics in Kobe
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26247014
[Presentation] Remarks on the ill-posedness for the Dirac-Klein-Gordon system2017
- Author(s)
  Machihara Shuji
- Organizer
  International Workshop on ``Fundamental Problems in Mathematical and Theoretical Physics”
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26247014
[Presentation] 空間１次元Dirac-Klein-Gordon方程式の初期値問題の適切性について2017
- Author(s)
  町原　秀二
- Organizer
  日本数学会実函数論分科会, 函数解析学分科会共催第56回実函数論・函数解析学合同シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-16K05191
[Presentation] Global well-posedness for one dimensional Chern-Simons-Dirac system in Lp2017
- Author(s)
  Shuji Machihara
- Organizer
  Nonlinear PDE for Future Applications -Hyperbolic and Dispersive PDE-
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05191
[Presentation] 空間１次元Dirac-Klein-Gordon方程式の初期値問題の適切性について2017
- Author(s)
  町原秀二
- Organizer
  日本数学会実函数論分科会, 函数解析学分科会共催第56回実函数論・函数解析学合同シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-26247014
[Presentation] Remarks on the ill-posedness for the Dirac-Klein-Gordon system2017
- Author(s)
  Shuji Machihara
- Organizer
  International Workshop on ``Fundamental Problems in Mathematical and Theoretical Physics”
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05191
[Presentation] Global well-posedness for one dimensional Chern-Simons-Dirac system in Lp2017
- Author(s)
  Machihara Shuji
- Organizer
  Nonlinear PDE for Future Applications -Hyperbolic and Dispersive PDE-
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26247014
[Presentation] 空間1次元Dirac-Klein-Gordon方程式初期値問題の非適切性の議論2016
- Author(s)
  Shuji Machihara
- Organizer
  第10回実解析と函数解析による偏微分方程式論研究集会
- Place of Presentation
  鳴子観光ホテル宮城県・大崎市
- Year and Date
  2016-12-25
- Data Source
  KAKENHI-PROJECT-26247014
[Presentation] Ill-posedness results for the 1d Dirac-Klein-Gordon sytem2016
- Author(s)
  Shuji Machihara
- Organizer
  Interactions Between Harmonic and Geometric Analysis
- Place of Presentation
  SAITAMA UNIVERSITY SATELLITE CAMPUS TOKYO STATION COLLEGE 東京都・千代田区
- Year and Date
  2016-11-29
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26247014
[Presentation] Ill-posedness results for the 1d Dirac-Klein-Gordon system2016
- Author(s)
  Shuji Machihara
- Organizer
  Interactions Between Harmonic and Geometric Analysis
- Place of Presentation
  埼玉大学東京ステーションカレッジ（東京都千代田区）
- Year and Date
  2016-11-28
- Data Source
  KAKENHI-PROJECT-16K05191
[Presentation] The Cauchy problem for the Chern-Simons-Dirac equation in one spatial dimension2016
- Author(s)
  Shuji Machihara
- Organizer
  名古屋微分方程式セミナー
- Place of Presentation
  名古屋大学（愛知県・名古屋市）
- Year and Date
  2016-01-18
- Data Source
  KAKENHI-PROJECT-26247014
[Presentation] The Cauchy problem for the Chern-Simons-Dirac equation in one spatial dimension2016
- Author(s)
  町原秀二
- Organizer
  名古屋微分方程式セミナー
- Place of Presentation
  名古屋大学（愛知県名古屋市）
- Year and Date
  2016-01-18
- Data Source
  KAKENHI-PROJECT-24540202
[Presentation] 空間1次元 Dirac-Klein-Gordon 方程式初期値問題の非適切性の議論2016
- Author(s)
  町原　秀二
- Organizer
  第 10 回実解析と函数解析による偏微分方程式論研究集会
- Place of Presentation
  鳴子観光ホテル（宮城県大崎市）
- Year and Date
  2016-12-25
- Data Source
  KAKENHI-PROJECT-16K05191
[Presentation] 空間1次元Dirac-Klein-Gordon方程式系の初期値問題2015
- Author(s)
  町原秀二
- Organizer
  南大阪応用数学セミナー
- Place of Presentation
  大阪市立大学（大阪府大阪市）
- Year and Date
  2015-11-28
- Data Source
  KAKENHI-PROJECT-24540202
[Presentation] Well-posed and Ill-posed results for the 1d Dirac-Klein-Gordon system2015
- Author(s)
  Shuji Machihara
- Organizer
  Harmonic Analysis and Partial Differential Equations(ICMS)
- Place of Presentation
  Edinburgh（イギリス）
- Year and Date
  2015-07-27
- Data Source
  KAKENHI-PROJECT-24540202
[Presentation] Ill-posedness for the Cauchy problem of the Dirac-Klein-Gordon system in one dimension2015
- Author(s)
  Shuji Machihara
- Organizer
  Critical problems in nonlinear evolution equations
- Place of Presentation
  東京理科大学（東京都・新宿区）
- Year and Date
  2015-11-07
- Data Source
  KAKENHI-PROJECT-26247014
[Presentation] Ill-posedness for the Cauchy problem of the Dirac-Klein-Gordon system in one dimension2015
- Author(s)
  町原秀二
- Organizer
  Critical problems in nonlinear evolution equations
- Place of Presentation
  東京理科大学（東京都新宿区）
- Year and Date
  2015-11-07
- Data Source
  KAKENHI-PROJECT-24540202
[Presentation] 空間1次元Chern-Simons-Dirac方程式系の初期値問題の非適切性2015
- Author(s)
  町原秀二
- Organizer
  調和解析駒場セミナー
- Place of Presentation
  東京大学（東京都目黒区）
- Year and Date
  2015-11-14
- Data Source
  KAKENHI-PROJECT-24540202
[Presentation] 空間1次元Dirac-Klein-Gordon方程式系の初期値問2015
- Author(s)
  Shuji Machihara
- Organizer
  南大阪応用数学セミナー
- Place of Presentation
  大阪市立大学（大阪府・大阪市住吉区）
- Year and Date
  2015-11-28
- Data Source
  KAKENHI-PROJECT-26247014
[Presentation] Ill-posed results for the 1d Dirac-Klein-Gordon system2015
- Author(s)
  Shuji Machihara
- Organizer
  10th International ISAAC Congress
- Place of Presentation
  マカオ大学（中国）
- Year and Date
  2015-08-07
- Data Source
  KAKENHI-PROJECT-24540202
[Presentation] 空間1次元Chern-Simons-Dirac方程式系の初期値問題の非適切性2015
- Author(s)
  Shuji Machihara
- Organizer
  調和解析駒場セミナー
- Place of Presentation
  東京大学（東京都・目黒区）
- Year and Date
  2015-11-14
- Data Source
  KAKENHI-PROJECT-26247014
[Presentation] Well-posed and Ill-posed results for the 1d Dirac-Klein-Gordon system2015
- Author(s)
  Shuji Machihara
- Organizer
  Harmonic Analysis and Partial Differential Equations(ICMS)
- Place of Presentation
  エジンバラ(15 South College Street),スコットランド
- Year and Date
  2015-07-27
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26247014
[Presentation] Ill-posed results for the 1d Dirac-Klein-Gordon system2015
- Author(s)
  Shuji Machihara
- Organizer
  10th International ISAAC Congress
- Place of Presentation
  マカオ大学,Macau, China
- Year and Date
  2015-08-07
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26247014
[Presentation] 空間1次元Chern-Simons-Dirac方程式の初期値問題の適切性と非適切性2014
- Author(s)
  町原秀二
- Organizer
  第122回神楽坂解析セミナー（東京理科大学）
- Place of Presentation
  東京理科大学神楽坂校舎8号館5階851教室
- Year and Date
  2014-04-26
- Data Source
  KAKENHI-PROJECT-24540202
[Presentation] 空間1次元Chern-Simons-Dirac方程式の初期値問題の適切性と非適切性2014
- Author(s)
  Shuji Machihara
- Organizer
  第１２２回神楽坂解析セミナー
- Place of Presentation
  東京理科大学神楽坂校舎８号館５階８５１教室
- Year and Date
  2014-04-26
- Data Source
  KAKENHI-PROJECT-26247014
[Presentation] 空間 1 次元 2 次の非線形項をもつ Dirac 方程式系の初期値問題について2013
- Author(s)
  町原秀二
- Organizer
  日本数学会 2013 年度秋季総合分科会
- Place of Presentation
  愛媛大学
- Invited
- Data Source
  KAKENHI-PROJECT-24540202
[Presentation] Local and global well-posedness of the Cauchy problem for the Chern-Simons-Dirac system in one dimension2013
- Author(s)
  町原秀二
- Organizer
  韓国中央大学校セミナー
- Place of Presentation
  中央大学校（韓国）
- Data Source
  KAKENHI-PROJECT-24540202
[Presentation] Hardyの不等式について2013
- Author(s)
  町原秀二
- Organizer
  第７回実解析と函数解析による微分方程式セミナー
- Place of Presentation
  ヒルズサンピア山形
- Data Source
  KAKENHI-PROJECT-24540202
[Presentation] Maximal operators associated to the wave equation2011
- Author(s)
  Machihara, S.
- Organizer
  Analysis seminar at the School of Mathematics, University of Edinburgh
- Place of Presentation
  エジンバラ大学
- Year and Date
  2011-01-24
- Data Source
  KAKENHI-PROJECT-19740087
[Presentation] Hardy inequalities and maximal operators associated to the wave equation2010
- Author(s)
  Machihara, S.
- Organizer
  Seminar talk at the School of Mathematics, University of Birmingham
- Place of Presentation
  バーミンガム大学
- Year and Date
  2010-11-17
- Data Source
  KAKENHI-PROJECT-19740087
[Presentation] Dirac-Klein-Gordon 方程式の初期値問題について2009
- Author(s)
  町原秀二
- Organizer
  第7回出羽セミナー
- Place of Presentation
  山形大学理学部
- Year and Date
  2009-06-13
- Data Source
  KAKENHI-PROJECT-19740087
[Presentation] Dirac-Klein-Gordon方程式の初期値問題について2009
- Author(s)
  町原秀二
- Organizer
  第7回出羽セミナー
- Place of Presentation
  山形大学理学部
- Year and Date
  2009-06-13
- Data Source
  KAKENHI-PROJECT-19740087
[Presentation] 空間1次元Dirac-Klein-Gordon方程式の初期値問題について2009
- Author(s)
  町原秀二
- Organizer
  青葉山勉強会(第2回)「分散型方程式の解の正則性」
- Place of Presentation
  東北大学青山記念会館
- Year and Date
  2009-08-04
- Data Source
  KAKENHI-PROJECT-19740087
[Presentation] 空間1次元 Dirac-Klein-Gordon 方程式の初期値問題について2009
- Author(s)
  町原秀二
- Organizer
  青葉山勉強会(第2回)「分散型方程式の解の正則性」
- Place of Presentation
  東北大学青山記念会館
- Year and Date
  2009-08-04
- Data Source
  KAKENHI-PROJECT-19740087
[Presentation] 空間1次元Dirac-Klein-Gordon方程式について2007
- Author(s)
  町原秀二
- Organizer
  RIMS workshop (5/21-24)
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2007-05-23
- Data Source
  KAKENHI-PROJECT-19740087
[Presentation] 空間1次元Dirac-Klein-Gordon方程式の初期値問題について2007
- Author(s)
  町原秀二
- Organizer
  RIMS workshop非線形波動及び分散型方程式の研究
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2007-05-23
- Data Source
  KAKENHI-PROJECT-19740087
[Presentation] 空間1次元Chern-Simons-Dirac方程式の初期値問題の適切性について
- Author(s)
  町原秀二
- Organizer
  なかもず解析セミナー
- Place of Presentation
  大阪府立大学
- Data Source
  KAKENHI-PROJECT-24540202
[Presentation] 1+1次元Chern-Simons-Dirac方程式のLp時間大域適切性
- Author(s)
  町原秀二
- Organizer
  日本数学会
- Place of Presentation
  九州大学伊都キャンパス
- Data Source
  KAKENHI-PROJECT-24540202
[Presentation] 空間1次元Chern-Simons-Dirac方程式の1点集約制御と時間大域可解性
- Author(s)
  町原秀二
- Organizer
  波動セミナー
- Place of Presentation
  北海道大学理学研究院
- Data Source
  KAKENHI-PROJECT-24540202
[Presentation] 空間 1 次元 Chern-Simons-Dirac 方程式の適切性について
- Author(s)
  町原秀二
- Organizer
  神戸解析セミナー
- Place of Presentation
  神戸大学
- Data Source
  KAKENHI-PROJECT-24540202
[Presentation] 1+1次元Chern-Simons-Dirac方程式の1点集約制御と時間大域解
- Author(s)
  町原秀二
- Organizer
  第11回葉山セミナー
- Place of Presentation
  芝浦工大葉山セミナーハウス
- Data Source
  KAKENHI-PROJECT-24540202
[Presentation] Global wellposedness for one dimensional Chern-Simons-Dirac system in Lp
- Author(s)
  町原秀二
- Organizer
  名古屋微分方程式セミナー
- Place of Presentation
  名古屋大学多元数理
- Data Source
  KAKENHI-PROJECT-24540202
[Presentation] Generalized Thirring model in one dimension
- Author(s)
  町原秀二
- Organizer
  韓国中央大学校セミナー
- Place of Presentation
  中央大学校（韓国）
- Data Source
  KAKENHI-PROJECT-24540202
[Presentation] 空間一次元 Chern-Simons-Dirac 方程式の非適切性
- Author(s)
  町原秀二
- Organizer
  前橋セミナー
- Place of Presentation
  群馬大学
- Data Source
  KAKENHI-PROJECT-24540202

1. FURUMOCHI Tetsuro (40039128)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
2. SUGIE Jitsuro (40196720)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
3. MATSUNAGA Hideaki (40332960)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
4. YAMAOKA Naoto (90433789)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
5. OZAWA Tohru (70204196)

# of Collaborated Projects: 3 results

# of Collaborated Products: 13 results
6. KOIKE Shigeaki (90205295)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
7. NAGASAWA Takeyuki (70202223)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
8. KUROIWA Daishi (40284020)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
9. TANAKA Kazunaga (20188288)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
10. AIKAWA Hiroaki (20137889)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
11. OHTA Masahito (00291394)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
12. KATO Nobuyuki (40177423)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
13. MIYAZAKI Rinko (40244660)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
14. KATAYAMA Soichiro (70283942)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
15. SUNAGAWA Hideaki (80375394)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
16. TSUTAYA Kimitoshi (60250411)

# of Collaborated Projects: 1 results

# of Collaborated Products: 4 results
17. TAKAMURA Hiroyuki (40241781)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. NAKAMURA Makoto (70312634)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. MIZUTA Yoshihiro (00093815)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. SUZUKI Noriaki (50154563)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. NAKANISHI toshihiro (00172354)

# of Collaborated Projects: 1 results

# of Collaborated Products: 3 results
22. 和田出秀光 (00466525)

# of Collaborated Projects: 1 results

# of Collaborated Products: 3 results
23. BEZ NEAL (30729843)

# of Collaborated Projects: 1 results

# of Collaborated Products: 2 results
24. 戍亥隆恭

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results
25. 岡本葵

# of Collaborated Projects: 0 results

# of Collaborated Products: 4 results

MACHIHARA Shuji 町原 秀二

町原 秀二 マチハラ シユウジ

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Nonrelativistic limit for the nonlinear Dirac equationPrincipal Investigator

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Existence or non-existence for the solutions of nonlinear wave equationsPrincipal Investigator

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wave equations and harmonic analysisPrincipal Investigator

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The Cauchy problem for the nonlinear wave equations of quantum mechanicPrincipal Investigator

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相対論的場の偏微分方程式の初期値問題の適切性および非相対論的極限Principal Investigator

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MACHIHARA Shuji 町原秀二

町原秀二マチハラシユウジ