Takamura Hiroyuki 高村博之

… Alternative Names

TAKAMURA Hiroyuki 高村博之

高村博之タカムラヒロユキ

HIROYUKI Takamura 高村博之

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Researcher Number	40241781
Other IDs
Affiliation (Current)	2025: 東北大学, 理学研究科, 教授
Affiliation (based on the past Project Information) *help	2018 – 2024: 東北大学, 理学研究科, 教授 2012 – 2017: 公立はこだて未来大学, システム情報科学部, 教授 2014: 公立はこだて未来大学, 公私立大学の部局等, 教授 2004 – 2006: 公立はこだて未来大学, システム情報科学部, 助教授 2002: 筑波大, 数学系, 講師 … More 2002: 筑波大学, 数学系, 講師 2000: Inst. Math., assistant Prof, 数学系, 講師 1997 – 1998: 筑波大学, 数学系, 講師 1995 – 1996: 筑波大学, 数学系, 助手 1992 – 1993: 筑波大学, 数学系, 助手 Less
Review Section/Research Field	Principal Investigator 解析学 / Medium-sized Section 12:Analysis, applied mathematics, and related fields / Basic Section 12020:Mathematical analysis-related / Mathematical analysis / Basic analysis / Global analysis Except Principal Investigator Basic analysis / Global analysis / Basic analysis / 解析学 / Basic Section 12020:Mathematical analysis-related / Medium-sized Section 12:Analysis, applied mathematics, and related fields
Keywords	Principal Investigator 初期値問題 / ライフスパン / 非線形波動方程式 / 古典解 / 半線形波動方程式 / エネルギー解 / 半線形消散波動方程式 / 有限時間爆発 / 時間大域存在 / lifespan … More / 空間１次元 / 非線形消散波動方程式 / スケール不変消散項 / 藤田指数 / Strauss指数 / 臨界指数 / 時間減衰 / 微分損失 / 波動方程式 / ド・ジッター時空 / combined effect / 空間低次元 / lifespan評価 / モーメント / 解の存在と爆発 / 消散項 / 半線形 / ライフスパン評価 / べき型半線形項 / 消散波動方程式 / 冪型非線形項 / リュービル変換 / スケール不変 / 時間減衰消散項 / 非線消散形波動方程式 / 解の最大存在時間 / シュトラウス指数 / 半線形熱方程式 / 高次元 / 非線形 / 国際研究者交流、中国 / 国際研究者交流、イタリア / 常微分不等式 / 解の表示 / 球対称解 / 高次元空間 / 最大存在時間 / 双曲型方程式 / weighted L^∞ estimate / semilinear wave equation / classical solution / 積分表示 / 非線型波動方程式 … More Except Principal Investigator 初期値問題 / 波動方程式 / null condition / global solution / spherical symmetry / initial-boundary problem / system of elastic waves / smoothing effect / 解の爆発 / 時間大域解 / 準楕円性 / 数値解析 / 爆発境界 / 有限時間爆発 / 分散性 / 消散性 / 変分法 / 非線形偏微分方程式 / 臨界型問題 / 臨界空間 / Fujita-Katoの原理 / Keller-Segel 方程式 / 特異極限 / 最大正則性 / 移流拡散方程式 / 非線型分散型方程式 / 当方性 / 大域解の存在 / Poisson ratio / 等方性 / 大域解 / 球体称解 / 初期境界値問題 / 非線形弾性波動方程式系 / Cauchy problem / Gevrey class / regularity / dispersion equation / Schrodinger equation / 退任放物型方程式 / 双曲型方程式 / シュレヂンガー方程式 / 平滑化効果 / Schrodinger方程式 / Gevrey関数 / 正則性 / 分散方程式 / Schrodiuger方程式 / Smoothing effect / local solvability / hypoellipticity / propagation of singularities / a priori estimate / Fourier integral operator / pseudodifferential operator / hyperfunction / microlocal analysis / 局所可解性 / 特異性の伝播 / アプリオリ評価 / Fourier積分作用素 / 擬微分作用素 / 佐藤超函数 / 超局所解析 / 国際研究者交流(アメリカ） / 遠方場 / 漸近的に平坦な計量 / 非線型波動方程式 / 境界条件 / レビ条件 / 適切性 / エネルギー評価 / 境界値問題 / 振動理論 / 退化双曲型方程式 / 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 / 散乱問題 / ハートリータイプ / ディラック方程式 / hyperbolic / kirchhoff equation / Extension of solution / 時間的減衰 / 解の正則姓 / 非線型問題の大域解 / 解のライフスパン / キルヒホフ方程式 / 確率過程 / シュレーディンガー方程式 / 弾性波動 / 非線形 / 擬徴分作用素 / 双曲型 / 偏徴分方程式 Less

Exploration of new global analysis on blow-up solutions for nonlinear hyperbolic partial differential equations
- Principal Investigator
  
  佐々木多希子
- Project Period (FY)
  2024 – 2028
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Musashino University
非線形消散波動方程式の一般論の構築と宇宙論および流体力学への応用Principal Investigator
- Principal Investigator
  
  高村博之
- Project Period (FY)
  2022 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Review Section
  
  Medium-sized Section 12:Analysis, applied mathematics, and related fields
- Research Institution
  Tohoku University
Unravel higher order critical structures to solutions of nonlinear dispersive and dissipative partial differential equations
- Principal Investigator
  
  小川卓克
- Project Period (FY)
  2019
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Review Section
  
  Medium-sized Section 12:Analysis, applied mathematics, and related fields
- Research Institution
  Tohoku University
Breakthrough on the wave-like property of solutions of nonlinear damped wave equationsPrincipal Investigator
- Principal Investigator
  
  Hiroyuki Takamura
- Project Period (FY)
  2018 – 2021
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Tohoku University
The analysis of effects by derivative loss in the fundamental solution of the high-dimensional wave equation on nonlinear problemsPrincipal Investigator
- Principal Investigator
  
  Takamura Hiroyuki
- Project Period (FY)
  2015 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Mathematical analysis
- Research Institution
  Tohoku University
  Future University-Hakodate
Global behavior for nonlinear wave
- Principal Investigator
  
  Kubo Hideo
- Project Period (FY)
  2012 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Hokkaido University
Analysis on the critical nonlinear wave equations in high dimensions and its applicationsPrincipal Investigator
- Principal Investigator
  
  TAKAMURA HIROYUKI
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Future University-Hakodate
Research on oscillation problems for degenerate hyperbolic equations
- Principal Investigator
  
  ISHIDA Haruhisa
- Project Period (FY)
  2010 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  The University of Electro-Communications
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
The initial-boundary value problem for a system of nonlinear elastic waves
- Principal Investigator
  
  AGEMI Rentaro
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Future University-Hakodate
非線型発展方程式の解の延長
- Principal Investigator
  
  KAJITANI Kunihiko
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Basic analysis
- Research Institution
  University of Tsukuba
非線形波動方程式系の解の振動と幾何学的構造との関係の解析Principal Investigator
- Principal Investigator
  
  高村博之
- Project Period (FY)
  2002
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Global analysis
- Research Institution
  University of Tsukuba
Smoothing effect of Partial differential equations
- Principal Investigator
  
  KUNIKIKO Kajitani
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (B).
- Research Field
  
  Basic analysis
- Research Institution
  Tsukuba University
幾何の問題に現れる双曲型方程式の解析Principal Investigator
- Principal Investigator
  
  高村博之
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  解析学
- Research Institution
  University of Tsukuba
Studies on differential equations by microlocal analysis
- Principal Investigator
  
  WAKABAYASHI Seiichiro
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  University of Tsukuba
波動方程式の基本解の表示とその応用Principal Investigator
- Principal Investigator
  
  高村博之
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  解析学
- Research Institution
  University of Tsukuba
非線型波動方程式に対する初期値問題Principal Investigator
- Principal Investigator
  
  高村博之
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  解析学
- Research Institution
  University of Tsukuba
徴分方程式および作用素論と関連分野の研究
- Principal Investigator
  
  松村睦豪
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  University of Tsukuba

[Journal Article] Semilinear wave equations of derivative type with spatial weights in one space dimension2023
- Author(s)
  Shunsuke Kitamura, Katsuaki Morisawa, Hiroyuki Takamura
- Journal Title
  
  Nonlinear Anal. Real World Appl.
  
  Volume: 72 Pages: 103764-103764
- DOI
  10.1016/j.nonrwa.2022.103764
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-22H00097
[Journal Article] The combined effect in one space dimension beyond the general theory for nonlinear wave equations2023
- Author(s)
  Katsuaki Morisawa, Takiko Sasaki, Hiroyuki Takamura
- Journal Title
  
  Communications on Pure and Applied Analysis
  
  Volume: 22 Issue: 5 Pages: 1629-1658
- DOI
  10.3934/cpaa.2023040
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-22H00097, KAKENHI-PROJECT-18K13447
[Journal Article] On a semilinear wave equation in anti-de Sitter spacetime: the critical case2022
- Author(s)
  Alessandro Palmieri, Hiroyuki Takamura
- Journal Title
  
  J. Math. Phys.
  
  Volume: 63 Issue: 11 Pages: 111505-111505
- DOI
  10.1063/5.0086614
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22H00097
[Journal Article] A note on blow-up results for semilinear wave equations in de Sitter and anti-de Sitter spacetimes2022
- Author(s)
  Alessandro Palmieri, Hiroyuki Takamura
- Journal Title
  
  J. Math. Anal. Appl.
  
  Volume: 514 Issue: 1 Pages: 126266-126266
- DOI
  10.1016/j.jmaa.2022.126266
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22H00097
[Journal Article] The lifespan of classical solutions of semilinear wave equations with spatial weights and compactly supported data in one space dimension2022
- Author(s)
  Shunsuke Kitamura, Katsuaki Morisawa, Hiroyuki Takamura
- Journal Title
  
  J. Differential Equations
  
  Volume: 307 Pages: 486-516
- DOI
  10.1016/j.jde.2021.10.062
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-18H01132
[Journal Article] Heat-like and wave-like lifespan estimates for solutions of semilinear damped wave equations via a Kato's type lemma2020
- Author(s)
  Ning-An Lai, Nico Michele Schiavone, Hiroyuki Takamura
- Journal Title
  
  J. Differential Equations
  
  Volume: 269 Issue: 12 Pages: 11575-11620
- DOI
  10.1016/j.jde.2020.08.020
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01132
[Journal Article] Nonexistence of global solutions for a weakly coupled system of semilinear damped wave equations in the scattering case with mixed nonlinear terms2020
- Author(s)
  Alessandro Palmieri, Hiroyuki Takamura
- Journal Title
  
  Nonlinear Differential Equations and Applications
  
  Volume: 27 Issue: 6 Pages: 1-39
- DOI
  10.1007/s00030-020-00662-8
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01132
[Journal Article] Nonexistence of global solutions for a weakly coupled system of semilinear damped wave equations of derivative type in the scattering case2020
- Author(s)
  Alessandro Palmieri, Hiroyuki Takamura
- Journal Title
  
  Mediterranean J. of Mathematics
  
  Volume: 17(13) Issue: 1
- DOI
  10.1007/s00009-019-1445-4
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01132
[Journal Article] The lifespan of solutions of semilinear wave equations with the scale-invariant damping in two space dimensions2020
- Author(s)
  Takuto Imai, Masakazu Kato, Hiroyuki Takamura, Kyouhei Wakasa
- Journal Title
  
  J. Differential Equations
  
  Volume: 269 Issue: 10 Pages: 8387-8424
- DOI
  10.1016/j.jde.2020.06.019
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-18H01132
[Journal Article] Short time blow-up by negative mass term for semilinear wave equations with small data and scattering damping2020
- Author(s)
  Ning-An Lai, Nico Michele Schiavone, Hiroyuki Takamura
- Journal Title
  
  Advanced Studies in Pure Mathematics
  
  Volume: 85 Pages: 391-405
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01132
[Journal Article] Nonexistence of global solutions of wave equations with weak time-dependent damping and combined nonlinearity2019
- Author(s)
  N.-A.Lai and H.Takamura
- Journal Title
  
  Nonlinear Analysis, RW
  
  Volume: 45 Pages: 83-96
- DOI
  10.1016/j.nonrwa.2018.06.008
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01132
[Journal Article] The lifespan of solutions of semilinear wave equations with the scale-invariant damping in one space dimension2019
- Author(s)
  Masakazu Kato, Hiroyuki Takamura, Kyouhei Wakasa
- Journal Title
  
  Differential Integral Equations
  
  Volume: 32(11-12) Pages: 659-678
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18H01132
[Journal Article] Nonexistence of global solutions of nonlinear wave equations with weak time-dependent damping related to Glassey's conjecture2019
- Author(s)
  N.-A.Lai and H.Takamura
- Journal Title
  
  Differential and Integral Equations
  
  Volume: 32(1-2) Pages: 37-48
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01132
[Journal Article] Wave-like blow-up for semilinear wave equations with scattering damping and negative mass term2019
- Author(s)
  Ning-an Lai, Nico Michele Schiavone, Hiroyuki Takamura
- Journal Title
  
  Trends in Mathematics, M.D'Abbicco, M.Ebert, V.Georgiev, T.Ozawa ed., "New Tools for Nonlinear PDEs and Application", Birkhauser, Cham
  
  Volume: - Pages: 217-240
- DOI
  10.1007/978-3-030-10937-0_8
- ISBN
  9783030109363, 9783030109370
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01132
[Journal Article] The sharp lower bound of the lifespan of solutions to semilinear wave equations with low powers in two space dimensions2019
- Author(s)
  Takuto Imai, Masakazu Kato, Hiroyuki Takamura, Kyouhei Wakasa
- Journal Title
  
  K.Kato & T.Ogawa & T.Ozawa ed. "Asymptotic Analysis for Nonlinear Dispersive and Wave Equations", Advanced Studies in Pure Mathematics
  
  Volume: 81 Pages: 31-53
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18H01132
[Journal Article] Blow-up for a weakly coupled system of semilinear damped wave equations in the scattering case with power nonlinearities2019
- Author(s)
  Alessandro Palmieri, Hiroyuki Takamura
- Journal Title
  
  Nonlinear Analysis, TMA
  
  Volume: 187 Pages: 467-492
- DOI
  10.1016/j.na.2019.06.016
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01132
[Journal Article] 単独非線形波動方程式の一般論とその最適性を支えるモデル方程式2018
- Author(s)
  高村博之
- Journal Title
  
  日本数学会編『数学』
  
  Volume: 70 Pages: 375-378
- NAID
  130007930720
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18H01132
[Journal Article] Blow-up for semilinear damped wave equations with subcritical exponent in the scattering case Author links open overlay panel2018
- Author(s)
  Ning-An Lai, Hiroyuki Takamura
- Journal Title
  
  Nonlinear Analysis, TMA
  
  Volume: 168 Pages: 222-237
- DOI
  10.1016/j.na.2017.12.008
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04964
[Journal Article] Blow-up for semilinear wave equations with the scale invariant damping and super-Fujita exponent2017
- Author(s)
  Ning-An Lai, Hiroyuki Takamura, Kyouhei Wakasa
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 263 Issue: 9 Pages: 5377-5394
- DOI
  10.1016/j.jde.2017.06.017
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04964
[Journal Article] Blow-up of positive solutions to wave equations in high dimensions2016
- Author(s)
  M.A.Rammaha & H.Takamura & H.Uesaka & K.Wakasa
- Journal Title
  
  Differential and Integral equations
  
  Volume: 29(1-2) Pages: 1-18
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24340024
[Journal Article] Global existence for semilinear wave equations with the critical blow-up term in high dimensions2016
- Author(s)
  H.Takamura & K.Wakasa
- Journal Title
  
  J.Differential Equations
  
  Volume: 261(2) Issue: 2 Pages: 1046-1067
- DOI
  10.1016/j.jde.2016.03.036
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15K04964
[Journal Article] Blow-up of positive solutions to wave equations in high dimensions2016
- Author(s)
  M.A.Rammaha, H.Takamura, H.Uesaka, K.Wakasa,
- Journal Title
  
  Differential and Integral equations
  
  Volume: 29 Pages: 1-18
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04964
[Journal Article] 単独非線形波動方程式の初期値問題に対する一般論の終結に関する話題2015
- Author(s)
  高村博之
- Journal Title
  
  京都大学数理解析研究所講究録
  
  Volume: 1969 Pages: 40-63
- Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-15K04964
[Journal Article] 常微分不等式に対する加藤の補題の改良と半線形波動方程式への応用2015
- Author(s)
  高村博之
- Journal Title
  
  京都大学数理解析研究所講究録
  
  Volume: 1959 Pages: 153-163
- Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-15K04964
[Journal Article] 単独非線形波動方程式の初期値問題に対する一般論の終結に関する話題2015
- Author(s)
  高村博之
- Journal Title
  
  京都大学数理解析研究所講究録
  
  Volume: 1969 Pages: 40-63
- Data Source
  KAKENHI-PROJECT-24340024
[Journal Article] 常微分不等式に対する加藤の補題の改良と半線形波動方程式への応用2015
- Author(s)
  高村博之
- Journal Title
  
  京都大学数理解析研究所講究録
  
  Volume: 1959 Pages: 153-163
- Data Source
  KAKENHI-PROJECT-24340024
[Journal Article] Improved Kato's lemma on ordinary differential inequality and its application to semilinear wave equations2015
- Author(s)
  H.Takamura
- Journal Title
  
  Nonlinear Analysis TMA
  
  Volume: 125 Pages: 227-240
- DOI
  10.1016/j.na.2015.05.024
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15K04964, KAKENHI-PROJECT-24340024
[Journal Article] Almost global solutions of semilinear wave equations with the critical exponent in high dimensions2014
- Author(s)
  H.Takamura & K.Wakasa
- Journal Title
  
  Nonlinear Analysis, TMA
  
  Volume: 109 Pages: 187-229
- DOI
  10.1016/j.na.2014.06.007
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-14J02330, KAKENHI-PROJECT-24340024, KAKENHI-PROJECT-24540183
[Journal Article] 半線形波動方程式入門と最近の話題2014
- Author(s)
  高村博之
- Journal Title
  
  第36回発展方程式若手セミナー報告集
  
  Volume: 36 Pages: 1-20
- Data Source
  KAKENHI-PROJECT-24540183
[Journal Article] The final problem on the optimality of the general theory for nonlinear wave equations2012
- Author(s)
  H.Takamura and K.Wakasa
- Journal Title
  
  Progress in Mathematics (M.Ruzhansky and M.Sugimoto and J.Wirth eds., "Evolution Equations of Hyperbolic and Schr\"odinger Type")
  
  Volume: 301 Pages: 315-324
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540183
[Journal Article] The blow-up and lifespan of solutions to systems of semilinear wave equation with critical exponents in high dimensions2012
- Author(s)
  Y.Kurokawa and H.Takamura and K.Wakasa,
- Journal Title
  
  Differential and Integral Equations
  
  Volume: 25 Pages: 363-382
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540183
[Journal Article] The blow-up and lifespan of solutions to systems of semilinear wave equation with critical exponent in high dimensions2012
- Author(s)
  Y. Kurokawa, H. Takamura, K. Wakasa
- Journal Title
  
  Differential and Integral Equations
  
  Volume: 25 Pages: 363-382
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24340024
[Journal Article] Blow-up theorem for semilinear wave equations with non-zeroinitial position2010
- Author(s)
  Hiroyuki Takamura, Hiroshi Uesaka, Kyouhei Wakasa
- Journal Title
  
  Journal of DifferentialEquations
  
  Volume: Vol. 249, No. 4 Issue: 4 Pages: 914-930
- DOI
  10.1016/j.jde.2010.01.010
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540176
[Journal Article] The lifespan of solutions to nonlinear systems of high-dimensional wave equations2006
- Author(s)
  V.Georgiev, H.Takamura, Y.Zhou
- Journal Title
  
  Nonlinear Analysis 65
  
  Pages: 2215-2250
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540199
[Journal Article] The lifespan of solutions to nonlinear systems of a high-dimensional wave equation2006
- Author(s)
  高村博之他2名
- Journal Title
  
  Nonlinear Analysis 64
  
  Pages: 2215-2250
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540199
[Journal Article] Mixed amplitude solutions of semilinear systems of 3-dimentionl wave equations2005
- Author(s)
  高村博之
- Journal Title
  
  Asymptotic Analysis 45
  
  Pages: 99-112
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540199
[Journal Article] Mixed amplitude solutions of semilinear systems of 3-dimensional wave equations2005
- Author(s)
  Hiroyuki Takamura
- Journal Title
  
  Asymptotic Analysis 45
  
  Pages: 99-112
- NAID
  120006459400
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540199
[Journal Article] The lifespan of solutions to nonlinear systems of high dimensional wave equation
- Author(s)
  高村博之, Vladimir Georgiev
- Journal Title
  
  Nonlinear Analysis (accepted)
- Data Source
  KAKENHI-PROJECT-16540199
[Presentation] 非線形波動方程式の一般論の空間1 次元における改良可能性について2023
- Author(s)
  高村博之
- Organizer
  Takamatsu Workshop on Partial Differential Equations
- Invited
- Data Source
  KAKENHI-PROJECT-22H00097
[Presentation] 非線形波動方程式の一般論の拡張に向けた空間１次元での布石2023
- Author(s)
  高村博之
- Organizer
  新発田偏微分方程式研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-22H00097
[Presentation] 特性方向の重みを持つ一次元半線形波動方程式の古典解のlifespan 評価2022
- Author(s)
  北村駿介, 高村博之, 若狭恭平
- Organizer
  日本数学会2022年度年度年会函数方程式論分科会
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] 非線形波動方程式の一般論を超える空間1 次元のcombined effect2022
- Author(s)
  高村博之, 佐々木多希子, 森澤功暁
- Organizer
  日本数学会2022年度年会函数方程式論分科会
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] The combined effect in one space dimension beyond the general theory for nonlinear wave equations2022
- Author(s)
  Hiroyuki Takamura
- Organizer
  Mathematical Analysis of Nonlinear Dispersive and Wave Equations - In honor of Professor Tohru Ozawa's 60th birthday
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22H00097
[Presentation] The combined effect in one space dimension beyond the general theory for nonlinear wave equations2022
- Author(s)
  高村博之
- Organizer
  数理物理セミナー偏微分方程式論セミナー合同開催マス・フォア・イノベーション卓越大学院プログラム連携イベント
- Invited
- Data Source
  KAKENHI-PROJECT-22H00097
[Presentation] 空間1 次元における空間変数による重み付き微分型半線形波動方程式の古典解2022
- Author(s)
  高村博之, 北村駿介, 森澤功暁
- Organizer
  日本数学会2022年度年会函数方程式論分科会
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] 非線形波動方程式から非線形消散波動方程式へ、その解析の発展と今後2022
- Author(s)
  高村博之
- Organizer
  One Day Workshop on Hyperbolic PDE in Kushiro
- Invited
- Data Source
  KAKENHI-PROJECT-22H00097
[Presentation] 空間１次元における非線形波動方程式の最近の発展2022
- Author(s)
  高村博之
- Organizer
  黒木場正城教授追悼研究集会「非線型偏微分方程式と走化性」
- Invited
- Data Source
  KAKENHI-PROJECT-22H00097
[Presentation] 非線形波動方程式の一般論とその最適性を保証するモデル方程式の歴史と今後2022
- Author(s)
  高村博之
- Organizer
  東北大学大学院理学研究科数学専攻談話会
- Invited
- Data Source
  KAKENHI-PROJECT-22H00097
[Presentation] A new classification of semilinear damped wave equations by lifespan estimates2021
- Author(s)
  Hiroyuki Takamura
- Organizer
  The 13th ISAAC Congress, Session 12: Partial differential equations on curved space-times
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] The lifespan estimates of classical solutions of 1D semilinear wave equations with spatial weights2021
- Author(s)
  Hiroyuki Takamura
- Organizer
  The 18th Linear and Nonlinear Waves
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] 半線形消散波動方程式の新しい分類2021
- Author(s)
  高村博之
- Organizer
  第３６回松山キャンプ
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] 半線形消散波動方程式の解のlifespanによる分類2021
- Author(s)
  高村博之
- Organizer
  Critical Exponent and NLPDE
- Invited
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] Heat or wave? A classification of semilinear damped wave equations with time-dependent coefficients2020
- Author(s)
  Hiroyuki Takamura
- Organizer
  The 45th Sapporo Symposium on Partial Differential Equations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] The lifespan of solutions of semilinear wave equations with the scale-invariant damping in two space dimensions2019
- Author(s)
  Hiroyuki Takamura
- Organizer
  2019 Workshop on Geometry and Nonlinear Partial Differential Equations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] Lifespan estimates of solutions of semilinear wave equations with the scale invariant damping in one space dimension2019
- Author(s)
  H.Takamura
- Organizer
  第36回九州における偏微分方程式研究集会, 九州大学
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] Lifespan estimates of solutions of semilinear wave equationswith the scale invariant damping in one space dimension2019
- Author(s)
  H.Takamura
- Organizer
  東北復旦交流事業, 復旦大学（中国）
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] 時間依存係数をもつ半線形消散波動方程式の分類2019
- Author(s)
  高村　博之
- Organizer
  第17回浜松偏微分方程式研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] 強い時間減衰を伴う消散項付き非線形波動方程式に対する解の波動的な爆発とlifespan評価2018
- Author(s)
  高村博之
- Organizer
  三重における非線形波動方程式研究集会, 三重大学
- Invited
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] 強い時間減衰を伴う消散項付き非線形波動方程式に対する解の波動的な爆発とlifespan評価2018
- Author(s)
  高村博之・頼宇安
- Organizer
  2018日本数学会秋季総合分科会函数方程式論分科会, 岡山大学
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] 非線形消散波動方程式の波動的な解の爆発2018
- Author(s)
  高村博之
- Organizer
  応用解析研究会, 早稲田大学
- Invited
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] The “wave-like” blow-up for nonlinear wave equations with the scattering damping2018
- Author(s)
  H.Takamura
- Organizer
  Eighth Euro-Japanese Workshop on Blow-up, 東北大学
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] Lifespan estimates of solutions of semilinear wave equations with the scale invariant damping in one space dimension2018
- Author(s)
  H.Takamura
- Organizer
  Seminario di Matematica, バーリ大学（イタリア）
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] Wave-like blow-up for semilinear damped wave equation2018
- Author(s)
  高村博之
- Organizer
  名古屋微分方程式セミナー, 名古屋大学
- Invited
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] 非線形消散波動方程式の最近の発展2018
- Author(s)
  高村博之
- Organizer
  第1回はこだて数理解析研究集会, 公立はこだて未来大学
- Invited
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] スケール不変な消散項をもつ１次元半線形波動方程式の解のライフスパン2018
- Author(s)
  高村博之
- Organizer
  八戸における偏微分方程式論集中ワークショップ　第九回北海道-東北コンソーシアムセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] スケール不変な消散項付き１次元半線形波動方程式の解の最大存在時間評価2018
- Author(s)
  高村博之
- Organizer
  大阪大学微分方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] 非線形波動方程式の解析から非線形消散波動方程式の解析へ2018
- Author(s)
  高村博之
- Organizer
  東北大学応用数学セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] Multipliers on the wave-like blow-up for nonlinear damped wave equations2018
- Author(s)
  H.Takamura
- Organizer
  The 11th Mathematical Society of Japan (MSJ) Seasonal Institute (SI) The Role of Metrics in the Theory of Partial Differential Equations, 北海道大学
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] Multipliers on the wave-like blow-up for nonlinear damped wave equations2018
- Author(s)
  Hiroyuki Takamura
- Organizer
  Workshop "Critical Exponent and Nonlinear Evolution Equations 2018"
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04964
[Presentation] 非線形消散波動方程式の波動的な解の爆発2018
- Author(s)
  高村博之
- Organizer
  東北大学大学院理学研究科談話会
- Invited
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] Recent progress in analysis on semilinear damped wave equations2017
- Author(s)
  Hiroyuki Takamura
- Organizer
  Workshop "Analysis and the General Relativity"
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04964
[Presentation] Characteristic properties of nonlinear waves in two space dimensions2017
- Author(s)
  Hiroyuki Takamura
- Organizer
  麗水学院工学院談話会
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04964
[Presentation] 非線型消散波動方程式の解の波動的な爆発を導出するmultiplier2017
- Author(s)
  高村博之
- Organizer
  函館における偏微分方程式論集中ワークショップ　第七回北海道ー東北偏微分方程式コンソーシアムセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-15K04964
[Presentation] 空間２次元におけるスケール不変な半線形消散波動方程式の解のライフスパン評価2017
- Author(s)
  今井啄人、高村博之、加藤正和、若狭恭平
- Organizer
  2017日本数学会秋季総合分科会函数方程式論分科会
- Data Source
  KAKENHI-PROJECT-15K04964
[Presentation] The sharp lower bound of the lifespan of solutions to semilinear wave equations with lower power in two space dimensions2017
- Author(s)
  今井啄人、高村博之、若狭恭平、加藤正和
- Organizer
  2017日本数学会年会函数方程式論分科会
- Place of Presentation
  首都大学東京南大沢キャンパス（東京都八王子市）
- Data Source
  KAKENHI-PROJECT-15K04964
[Presentation] 劣シュトラウス指数をもった半線形消散波動方程式の解の爆発2017
- Author(s)
  高村博之
- Organizer
  2017年度第９回明治非線型数理セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-15K04964
[Presentation] Recent development of analysis on nonlinear damped waves2017
- Author(s)
  Hiroyuki Takamura
- Organizer
  麗水学院工学院談話会
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04964
[Presentation] Blow-up for semilinear wave equations with non-effective damping2017
- Author(s)
  Hiroyuki Takamura
- Organizer
  Workshop on Nonlinear Wave Equations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04964
[Presentation] 半線形消散波動方程式の解の爆発とStrauss指数の関係2017
- Author(s)
  高村博之
- Organizer
  現象解析特別セミナー第11回
- Place of Presentation
  茨城大学教育学部（茨城県水戸市）
- Invited
- Data Source
  KAKENHI-PROJECT-15K04964
[Presentation] Blow-up for semilinear damped wave equations with super-Fujita exponent2017
- Author(s)
  Hiroyuki Takamura
- Organizer
  ISAAC2017, session:Nonlenar PDE
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04964
[Presentation] Blow-up for semilinear wave equations with non-effective damping2017
- Author(s)
  H. Takamura
- Organizer
  Nonlinear Partial Differential Equations 2017, Zheajiang-Tohoku International work shop
- Place of Presentation
  東北大学大学院理学研究科川井ホール（宮城県仙台市）
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04964
[Presentation] 非影響的な消散波動方程式の劣シュトラウス指数における解の爆発2017
- Author(s)
  高村博之
- Organizer
  福島における偏微分方程式論集中ワークショップ、第六回北海道-東北偏微分方程式コンソーシアムセミナー
- Place of Presentation
  コラッセ福島（福島県福島市）
- Invited
- Data Source
  KAKENHI-PROJECT-15K04964
[Presentation] スケール不変な半線形消散波動方程式の優藤田指数における解の爆発2017
- Author(s)
  高村博之
- Organizer
  第32回松山キャンプ
- Place of Presentation
  山口大学理学部（山口県山口市）
- Invited
- Data Source
  KAKENHI-PROJECT-15K04964
[Presentation] 劣Strauss指数をもつ半線形消散波動方程式の解の爆発とlifespan評価2017
- Author(s)
  高村博之、頼宇安
- Organizer
  2017日本数学会秋季総合分科会函数方程式論分科会
- Data Source
  KAKENHI-PROJECT-15K04964
[Presentation] スケール不変な半線形消散波動方程式の藤田指を超えた解の爆発2016
- Author(s)
  高村博之
- Organizer
  室蘭における偏微分方程式論集中ワークショップ、第七回北海道-東北偏微分方程式コンソーシアムセミナー
- Place of Presentation
  洞爺湖文化センター（北海道虻田郡洞爺湖町）
- Invited
- Data Source
  KAKENHI-PROJECT-15K04964
[Presentation] Improved Kato's lemma and 2D semilinear wave equations2016
- Author(s)
  H.Takamura
- Organizer
  The 23rd Machikaneyama Seminar on PDEs
- Place of Presentation
  大阪大学理学部（大阪府豊中市）
- Year and Date
  2016-03-08
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04964
[Presentation] Blow-up for semilinear wave equations with scale invariant damping and super Fujita exponent2016
- Author(s)
  高村博之、若狭恭平
- Organizer
  2016日本数学会秋季総合分科会函数方程式論分科会
- Place of Presentation
  関西大学千里山キャンパス（大阪府吹田市）
- Data Source
  KAKENHI-PROJECT-15K04964
[Presentation] Blow-up for semilinear wave equations with scale invariant damping and super Fujita exponent2016
- Author(s)
  高村博之
- Organizer
  偏微分方程式セミナー
- Place of Presentation
  北海道大学理学部（北海道札幌市）
- Invited
- Data Source
  KAKENHI-PROJECT-15K04964
[Presentation] スケール不変な半線形消散波動方程式の優藤田指数における解の爆発2016
- Author(s)
  高村博之
- Organizer
  第32回南大阪応用数学セミナー
- Place of Presentation
  大阪市立大学杉本キャンパス（大阪府大阪市）
- Invited
- Data Source
  KAKENHI-PROJECT-15K04964
[Presentation] 加藤の補題の改良と空間２次元半線形波動方程式の解のライフスパンに関する新しい予想2016
- Author(s)
  高村博之
- Organizer
  2016日本数学会年会函数方程式論分科会
- Place of Presentation
  筑波大学（茨城県つくば市）
- Year and Date
  2016-03-19
- Data Source
  KAKENHI-PROJECT-15K04964
[Presentation] スケール不変な半線形消散波動方程式の優藤田指数における解の爆発2016
- Author(s)
  高村博之
- Organizer
  九州関数方程式セミナー
- Place of Presentation
  福岡大学セミナーハウス（福岡県福岡市）
- Invited
- Data Source
  KAKENHI-PROJECT-15K04964
[Presentation] スケール不変な半線形消散波動方程式の藤田指数を超えた解の爆発2016
- Author(s)
  高村博之
- Organizer
  新発田偏微分方程式研究集会
- Place of Presentation
  市島家併設「離れお座敷」（新潟県新発田市）
- Year and Date
  2016-03-26
- Invited
- Data Source
  KAKENHI-PROJECT-15K04964
[Presentation] 加藤の補題と劣臨界半線形波動方程式への応用2015
- Author(s)
  高村博之
- Organizer
  数理物理に現れる偏微分方程式研究会
- Place of Presentation
  民宿「三五郎」（静岡県賀茂郡）
- Year and Date
  2015-01-10
- Invited
- Data Source
  KAKENHI-PROJECT-24540183
[Presentation] 加藤の補題の精密化と消散波動方程式への応用2015
- Author(s)
  高村博之
- Organizer
  非線形波動方程式論研究会
- Place of Presentation
  公立はこだて未来大学（北海道函館市）
- Year and Date
  2015-01-25
- Data Source
  KAKENHI-PROJECT-24540183
[Presentation] 常微分不等式に対する加藤の補題と半線形波動方程式への応用2015
- Author(s)
  高村博之
- Organizer
  新潟における偏微分方程式論集中ワークショップ第四回北海道-東北偏微分方程式コンソーシアムセミナー
- Place of Presentation
  新潟大学駅南キャンパス「ときめいと」（新潟県新潟市）
- Year and Date
  2015-11-21
- Invited
- Data Source
  KAKENHI-PROJECT-15K04964
[Presentation] Improved Kato's lemma on ordinary differential inequality and its application to semilinear wave equations2015
- Author(s)
  H.Takamura
- Organizer
  10th International ISAAC Congress, Session: Nonlinear PDE
- Place of Presentation
  University of Macau（中華人民共和国マカオ特別行政区）
- Year and Date
  2015-08-04
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04964
[Presentation] Kato's lemma and its application to semilinear wave equations2015
- Author(s)
  高村博之
- Organizer
  研究集会「第１１回非線型の諸問題」
- Place of Presentation
  メートプラザ佐賀（佐賀県佐賀市）
- Year and Date
  2015-09-30
- Invited
- Data Source
  KAKENHI-PROJECT-15K04964
[Presentation] Improved Kato's lemma on ordinary differential inequality and its application to semilinear wave equations2015
- Author(s)
  H.Takamura
- Organizer
  10th International ISAAC Congress, Session: Nonlinear PDE
- Place of Presentation
  マカオ（中国）
- Year and Date
  2015-08-04
- Invited
- Data Source
  KAKENHI-PROJECT-24340024
[Presentation] 常微分不等式に対する加藤の補題の拡張と応用2015
- Author(s)
  高村博之
- Organizer
  武蔵野微分方程式研究集会
- Place of Presentation
  日本医科大学武蔵野校舎（東京都武蔵野市）
- Year and Date
  2015-10-11
- Data Source
  KAKENHI-PROJECT-15K04964
[Presentation] 積分方程式からみる非線形波動方程式の初期値問題2015
- Author(s)
  高村博之
- Organizer
  小樽における偏微分方程式論集中ワークショップ第三回北海道-東北偏微分方程式コンソーシアムセミナー
- Place of Presentation
  小樽商科大学（北海道小樽市）
- Year and Date
  2015-07-18
- Invited
- Data Source
  KAKENHI-PROJECT-15K04964
[Presentation] 単独非線形波動方程式の一般論とその最適性最終問題2015
- Author(s)
  高村博之
- Organizer
  北海道地区数学教育協議会高校サークル３月例会
- Place of Presentation
  北海道函館工業高等学校（北海道函館市）
- Year and Date
  2015-03-14
- Invited
- Data Source
  KAKENHI-PROJECT-24540183
[Presentation] Global existence for semilinear wave equations including the blow-up term in four space dimensions2014
- Author(s)
  H.Takamura
- Organizer
  The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Special Session 60; New Developments in Qualitative Behavior of Evolutionary PDEs
- Place of Presentation
  Universidad Autonoma de Madrid（スペイン・マドリード）
- Year and Date
  2014-07-11
- Invited
- Data Source
  KAKENHI-PROJECT-24340024
[Presentation] 公立はこだて未来大学における数学教育と福原賞受賞研究について2014
- Author(s)
  高村博之
- Organizer
  第90回数学教育実践研究会　兼　第20回夏季セミナー
- Place of Presentation
  北海道小樽桜陽高等学校（北海道小樽市）
- Year and Date
  2014-08-09
- Invited
- Data Source
  KAKENHI-PROJECT-24540183
[Presentation] Global existence for semilinear wave equations including the blow-up term in four space dimensions2014
- Author(s)
  H. Takamura
- Organizer
  The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Special Session 60; New Developments in Qualitative Behavior of Evolutionary PDEs
- Place of Presentation
  マドリード自治大学（スペイン共和国マドリード市）
- Year and Date
  2014-07-11
- Invited
- Data Source
  KAKENHI-PROJECT-24540183
[Presentation] Classical solutions of 4D wave equations with quadratic nonlinearities2014
- Author(s)
  H. Takamura
- Organizer
  International Conference on Recent Advances in Hyperbolic Partial Differential Equations
- Place of Presentation
  広島国際会議場（広島県広島市）
- Year and Date
  2014-12-04
- Invited
- Data Source
  KAKENHI-PROJECT-24540183
[Presentation] Global existence for semilinear wave equations with the critical blow-up term in high dimensions2014
- Author(s)
  H. Takamura
- Organizer
  International Conference on Asymptotic Analysis for Nonlinear Dispersive and Wave Equations
- Place of Presentation
  大阪大学（大阪府豊中市）
- Year and Date
  2014-09-09
- Invited
- Data Source
  KAKENHI-PROJECT-24540183
[Presentation] Analysis on ordinary differential inequalities arising from nonlinear wave equations2014
- Author(s)
  H. Takamura
- Organizer
  RIMS研究集会「実領域における常微分方程式の安定性理論とその応用」
- Place of Presentation
  京都大学数理解析研究所（京都府京都市）
- Year and Date
  2014-11-06
- Invited
- Data Source
  KAKENHI-PROJECT-24540183
[Presentation] The final problem on the optimality of the general theory for nonlinear wave equations and related topics2014
- Author(s)
  H. Takamura
- Organizer
  SEOUL ICM 2014, Section10:Partial Differential Equations
- Place of Presentation
  COEX（韓国京城市）
- Year and Date
  2014-08-18
- Data Source
  KAKENHI-PROJECT-24540183
[Presentation] The final problem on the optimality of the general theory for nonlinear wave equations and recent topics2014
- Author(s)
  H. Takamura
- Organizer
  Sixth Euro-Japanese Workshop on Blow-up
- Place of Presentation
  東京工業大学（東京都目黒区）
- Year and Date
  2014-09-02
- Invited
- Data Source
  KAKENHI-PROJECT-24540183
[Presentation] Global existence for semilinear wave equations with the blow-up term in high dimension2013
- Author(s)
  高村博之
- Organizer
  The 9th ISAAC Congress
- Place of Presentation
  ペダゴジカル大学（ポーランド共和国）
- Invited
- Data Source
  KAKENHI-PROJECT-24340024
[Presentation] 単独非線形波動方程式の初期値問題に対する一般論とその最適性最終問題2013
- Author(s)
  高村博之
- Organizer
  日本数学会2013年度年会函数方程式論分科会特別講演
- Place of Presentation
  京都大学 (京都市)(招待講演)
- Year and Date
  2013-03-23
- Data Source
  KAKENHI-PROJECT-24340024
[Presentation] 空間４次元で２次の半線形波動方程式に対する消散構造の解析
- Author(s)
  高村博之
- Organizer
  第28回松山キャンプ
- Place of Presentation
  山口大学理学部
- Invited
- Data Source
  KAKENHI-PROJECT-24540183
[Presentation] 非線形波動方程式に対する一般論の終結と共同研究者育成に関する話題
- Author(s)
  高村博之
- Organizer
  第1回釧路解析セミナー
- Place of Presentation
  北海道教育大学釧路校
- Invited
- Data Source
  KAKENHI-PROJECT-24540183
[Presentation] Almost global existence for semilinear wave equations with the critical exponent in high dimensions
- Author(s)
  高村博之
- Organizer
  RIMS研究集会「幾何学的偏微分方程式に対する保存則と正則性特異性の研究」
- Place of Presentation
  京都大学数理解析研究所
- Invited
- Data Source
  KAKENHI-PROJECT-24540183
[Presentation] 非線形波動方程式に対する一般論の完成とその後の発展
- Author(s)
  高村博之
- Organizer
  ２０１４年度第１回数理科学談話会
- Place of Presentation
  室蘭工業大学
- Invited
- Data Source
  KAKENHI-PROJECT-24540183
[Presentation] 高次元正値球対象解と半線形問題への応用
- Author(s)
  高村博之
- Organizer
  第２９回松山キャンプ
- Place of Presentation
  山口大学
- Data Source
  KAKENHI-PROJECT-24540183
[Presentation] General theory for nonlinear wave equations and its optimality
- Author(s)
  H.Takamura
- Organizer
  麗水学院理学院談話会
- Place of Presentation
  中国浙江省麗水市
- Invited
- Data Source
  KAKENHI-PROJECT-24540183
[Presentation] 空間４次元で２次の爆発項を含む半線形波動方程式に対する時間大域解の存在
- Author(s)
  高村博之
- Organizer
  松山解析セミナー2013
- Place of Presentation
  愛媛大学理学部
- Invited
- Data Source
  KAKENHI-PROJECT-24540183
[Presentation] 空間４次元で２次の非単項かつ不定符号の非線形項をもつ波動方程式の解の最大存在時間
- Author(s)
  高村博之, 若狭恭平
- Organizer
  2012年度日本数学会秋季総合分科会函数方程式論分科会
- Place of Presentation
  九州大学
- Data Source
  KAKENHI-PROJECT-24540183
[Presentation] 空間４次元で２次の非線形項をもつ波動方程式の解析
- Author(s)
  高村博之
- Organizer
  解析セミナー
- Place of Presentation
  神戸大学
- Invited
- Data Source
  KAKENHI-PROJECT-24540183
[Presentation] Almost global existence for semilinear wave equations with the critical exponent in high dimensions
- Author(s)
  H.Takamura
- Organizer
  第37回偏微分方程式札幌シンポジウム
- Place of Presentation
  北海道大学理学部
- Invited
- Data Source
  KAKENHI-PROJECT-24540183
[Presentation] 高次元非線形波動方程式の古典解の解析（特別講演）
- Author(s)
  高村博之
- Organizer
  太宰府偏微分方程式研究集会
- Place of Presentation
  北九州情報大学
- Invited
- Data Source
  KAKENHI-PROJECT-24540183
[Presentation] Positive solutions of high dimensional wave equations with non-zero data
- Author(s)
  Hiroyuki Takamura
- Organizer
  Workshop nonlinear PDE
- Place of Presentation
  イタリア共和国ピサ市
- Invited
- Data Source
  KAKENHI-PROJECT-24540183
[Presentation] The final problem on the optimality of the general theory for nonlinear wave equations and related topics
- Author(s)
  H.Takamura
- Organizer
  Special session 41, "New Developments in Qualitative Behavior of Evolutionary PDEs" in 9th AIMS International Conference on Dynamical Systems, Differential Equations and Applications
- Place of Presentation
  Orlando, Florida, USA
- Invited
- Data Source
  KAKENHI-PROJECT-24540183
[Presentation] 半線形波動方程式入門と最近の話題（特別講演）
- Author(s)
  高村博之
- Organizer
  第36回発展方程式若手セミナー
- Place of Presentation
  熊本県休暇村南阿蘇（熊本県阿蘇郡高森町）
- Year and Date
  2014-08-29 – 2014-08-30
- Invited
- Data Source
  KAKENHI-PROJECT-24540183
[Presentation] Global existence for semi linear wave equations with the blow-up term in high dimensions
- Author(s)
  Hiroyuki Takamura
- Organizer
  The 9th ISAAC Congress
- Place of Presentation
  ポーランド共和国クラコフ市
- Invited
- Data Source
  KAKENHI-PROJECT-24540183
[Presentation] 空間４次元で２次の非線形項をもつ波動方程式に関する消散構造の一例
- Author(s)
  高村博之, 若狭恭平
- Organizer
  2012年度日本数学会年会函数方程式論分科会
- Place of Presentation
  京都大学
- Data Source
  KAKENHI-PROJECT-24540183
[Presentation] 空間４次元で２次の非線形項をもつ波動方程式の解析
- Author(s)
  高村博之
- Organizer
  第１１１回神楽坂解析セミナー
- Place of Presentation
  東京理科大学
- Invited
- Data Source
  KAKENHI-PROJECT-24540183
[Presentation] 単独非線形波動方程式の初期値問題に対する一般論とその最適性最終問題
- Author(s)
  高村博之
- Organizer
  日本数学会2013年度年会函数方程式論分科会特別講演
- Place of Presentation
  京都大学
- Invited
- Data Source
  KAKENHI-PROJECT-24540183
[Presentation] Global existence for semiline wave equations with the blow-up term in high dimensions
- Author(s)
  H.Takamura
- Organizer
  Taiwan-Japan Joint Conference on PDE and Analysis
- Place of Presentation
  国立台湾大学（台湾）
- Invited
- Data Source
  KAKENHI-PROJECT-24540183
[Presentation] 空間４次元で２次の非線形項をもつ波動方程式の解析
- Author(s)
  高村博之
- Organizer
  波動セミナー
- Place of Presentation
  北海道大学
- Invited
- Data Source
  KAKENHI-PROJECT-24540183
[Presentation] Blow-up of solutions to semi linear wave equations with non-zero initial data
- Author(s)
  M.Rammaha, 高村博之, 上坂洋司, 若狭恭平
- Organizer
  ２０１３日本数学会秋期総合分科会函数方程式論分科会
- Place of Presentation
  愛媛大学
- Data Source
  KAKENHI-PROJECT-24540183
[Presentation] 高次元波動方程式の正値解と非線形一般論の最適性最終問題
- Author(s)
  高村博之
- Organizer
  第542回応用解析研究会
- Place of Presentation
  早稲田大学理工学部
- Invited
- Data Source
  KAKENHI-PROJECT-24540183

1. KAJITANI Kunihiko (00026262)

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Takamura Hiroyuki 高村 博之

TAKAMURA Hiroyuki 高村 博之

高村 博之 タカムラ ヒロユキ

HIROYUKI Takamura 高村 博之

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非線形消散波動方程式の一般論の構築と宇宙論および流体力学への応用Principal Investigator

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Breakthrough on the wave-like property of solutions of nonlinear damped wave equationsPrincipal Investigator

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The analysis of effects by derivative loss in the fundamental solution of the high-dimensional wave equation on nonlinear problemsPrincipal Investigator

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Analysis on the critical nonlinear wave equations in high dimensions and its applicationsPrincipal Investigator

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非線形波動方程式系の解の振動と幾何学的構造との関係の解析Principal Investigator

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幾何の問題に現れる双曲型方程式の解析Principal Investigator

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Takamura Hiroyuki 高村博之

TAKAMURA Hiroyuki 高村博之

高村博之タカムラヒロユキ

HIROYUKI Takamura 高村博之