Mizoguchi Noriko 溝口紀子

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MIZOGUCHI Noriko 溝口紀子

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Researcher Number	00251570
Other IDs
Affiliation (Current)	2025: 東京学芸大学, 教育学部, 准教授
Affiliation (based on the past Project Information) *help	2020 – 2025: 東京学芸大学, 教育学部, 准教授 2014 – 2018: 東京学芸大学, 教育学部, 准教授 2007 – 2008: Tokyo Gakugei University, 教育学部, 准教授 2006: Tohoku University, Faculty of Education, Associate Professor, 教育学部, 教授 1995 – 2006: 東京学芸大学, 教育学部, 助教授 1994: 東京学芸大学, 教育学部(第三部), 講師 1993: 東京学芸大学, 教育学部, 講師
Review Section/Research Field	Principal Investigator Global analysis / Basic Section 12020:Mathematical analysis-related / Global analysis / 解析学 / Mathematical analysis Except Principal Investigator 解析学 / Basic analysis / Global analysis / Basic analysis / General mathematics (including Probability theory/Statistical mathematics) / Algebra
Keywords	Principal Investigator 爆発 / 非線形 / 半線形熱方程式 / 超臨界指数 / blowup / incomplete blowup / semilinear heat equation / stable domain / complementary space / 走化性方程式系 … More / 放物型 / parabolic / nonlinear / Keller-Segel系 / 爆発現象 / Keller-Segel / Hamilton-Jacobi / chemotaxis / blowup rate / type II blowup / multiple blowup / supercritical exponent / 爆発のrate / type IIの爆発 / 複数回爆発 / 不完全爆発 / backward self-similar solution / continuation of solution / 逆向き自己相似 / supercritical / Neumann境界条件 / 爆発集合 / 半線形放物型方程式 / 解の接続 / 逆向きの自己相似解 / critical exponent / global solution / blow-up / 臨界指数 / 大域解 / 関数方程式論 / 流体 / 漸近挙動 / 放物型方程式系 / 特異性 / type II / 走化性 / 弱解 / タイプII / 組みひも群 / 非線形解析学 / ゼロ点 / self-similar / asymptotics / 力学系 / 解の爆発 / 非線形放物型方程式 / 無限次元力学系 / ライフスパン / 符号変化 / 有限時間爆発 / 放物型方程式 / 対称性破壊 / 半線形楕円型方程式 / 異方性 / 自己相似解 / 曲率流方程式 … More Except Principal Investigator complementary space / de Branges / 爆発 / 有限時間爆発 / 反応拡散系 / Morrey空間 / 一般化された分数べき積分作用素 / 指数安定性 / 定常解の分岐 / Lugiato-Lefever方程式 / エネルギー減衰評価式 / Morawetz評価式 / 減衰項付きKlein-Gordon方程式 / Beal-Kato-Majda型爆発判定条件 / 重力-表面張力水面波 / ストークス・ドリフト / 解の大域挙動 / 不安定基底状態 / 不変測度 / Keller-Segel方程式(ドイツ) / Zakharov方程式 / 等温Falkモデル / 表面量直重力波方程式(米国) / 解の正則性・特異性 / 初期値問題の適切性 / Orlicz-Morrey空間 / 爆発解 / 精度保証付き数値計算 / 計算機支援証明法 / Strichartz評価式 / 非線形発展方程式 / 非線形散乱理論 / 中心多様体 / グローバル・アトラクター / 大域挙動 / Stokesドリフト / Gibbs測度 / 解の時間大域挙動 / Keller-Segel方程式 / 解の特異性と凝縮現象 / 非圧縮性Navier-Stokes方程式 / 非線形波動・分散型方程式 / analysis / pattern formation / partial differential equations / reaction-diffusion systems / dynamics / singularity / diffusion / nonlinearity / パターン / 凝集 / 解析 / パターン形成 / 偏微分方程式 / ダイナミクス / 特異性 / 拡散 / 非線形 / Bloch function / Ahlfors function / thetafunction / conformal invariant / Riemann Surface / Bloch函数 / アールフォース函数 / テータ函数 / 等角不変量 / リーマン面 / modeling / free boundary / blowup of solutions / singular limit analysis / activator-inhibitor system / stability analysis / nonlinear partial differential equation / reaction-diffusion system / 特異極限 / 非線型放物型方程式 / スペクトル法 / バクテリヤコロニーモデル / 自己相似解 / 歪勾配系 / 興奮-柳制系 / 興奮-抑制系 / モデリング / 自由境界 / 解の爆発 / 特異極限法 / 興奮一抑制系 / 安定性解析 / 非線形偏微分方程式 / m-compact空間 / character / closed projection property / 線形汎関数 / 射影 / 閉写像 / 連続関数環 / 位相空間 / 非線型微分方程式 / 正則関数 / ノルム空間 / 連続写像 / 連続体 / CW-複体 / 距離空間 / k-ネットワーク / tilting complex / FPF環 / 極大商環 / 商カテゴリー / 準フロベニウス拡大 / フロベニウス拡大 / 加群 / 環 Less

放物型-放物型走化性方程式系における有限時間での特異性発現のメカニズムの解明Principal Investigator
- Principal Investigator
  
  溝口紀子
- Project Period (FY)
  2025 – 2027
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Tokyo Gakugei University
Blowup phenomena in chemotaxis systemPrincipal Investigator
- Principal Investigator
  
  溝口紀子
- Project Period (FY)
  2020 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Tokyo Gakugei University
Analysis on blowup phenomena in nonlinear parabolic systemsPrincipal Investigator
- Principal Investigator
  
  MIZOGUCHI Noriko
- Project Period (FY)
  2014 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Mathematical analysis
- Research Institution
  Tokyo Gakugei University
Concentration Phenomena and Structure of Solution for Nonlinear Evolution Equations
- Principal Investigator
  
  Tsutsumi Yoshio
- Project Period (FY)
  2011 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (S)
- Research Field
  
  Basic analysis
- Research Institution
  Kyoto University
On the singularity and the behaviors of solutions for parabolic equations with supercritical nonlinearityPrincipal Investigator
- Principal Investigator
  
  MIZOGUCHI Noriko
- Project Period (FY)
  2007 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Tokyo Gakugei University
On the singularity of solutions for nonlinear parabolic equationPrincipal Investigator
- Principal Investigator
  
  MIZOGUCHI Noriko
- Project Period (FY)
  2005 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Tokyo Gakugei University
Dynamics on Nonlinear Diffusive Systems and Analysis of Singularities
- Principal Investigator
  
  YANAGIDA Eiji
- Project Period (FY)
  2003 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
On the analysis of blowup phenomena for a nonlinear parabolic equationPrincipal Investigator
- Principal Investigator
  
  MIZOGUCHI Noriko
- Project Period (FY)
  2003 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Tokyo Gakugei University
On the behavior of solutions for nonlinear parabolic or elliptic equationsPrincipal Investigator
- Principal Investigator
  
  MIZOGUCHI Noriko
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  TOKYO GAKUGEI UNIVERSITY
Conformal invariants of Riemann surfaces and theta functions
- Principal Investigator
  
  YAMADA Akira
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  TOKYO GAKUGEI UNIVERSITY
非線形放物型方程式の解の挙動とメカニズムの解明Principal Investigator
- Principal Investigator
  
  溝口紀子
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Global analysis
- Research Institution
  Tokyo Gakugei University
非線形放物型方程式の解の挙動の研究Principal Investigator
- Principal Investigator
  
  溝口紀子
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  解析学
- Research Institution
  Tokyo Gakugei University
Mathematical studies on spatial and temporal patterns in reaction-diffusion systems
- Principal Investigator
  
  INABA Hisashi, 柳田英二
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  University of Tokyo
位相空間とその上の連続関数環の研究
- Principal Investigator
  
  池田義人
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tokyo Gakugei University
集合と関数による位相数学の研究
- Principal Investigator
  
  田中祥雄
- Project Period (FY)
  1995 – 1996
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tokyo Gakugei University
楕円型及び放物型方程式の解の存在と構造の研究Principal Investigator
- Principal Investigator
  
  溝口紀子
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  解析学
- Research Institution
  Tokyo Gakugei University
環と加群の理論
- Principal Investigator
  
  徳弘好
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Gakugei University

[Journal Article] Finite-time blowup in Cauchy problem of parabolic-parabolic chemotaxis system2020
- Author(s)
  Noriko Mizoguchi
- Journal Title
  
  J. Math. Pures Appl.
  
  Volume: 136 Pages: 203-238
- DOI
  10.1016/j.matpur.2019.10.004
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23K20222
[Journal Article] Criterion on initial energy for finite-time blowup in parabolic-parabolic Keller-Segel system2020
- Author(s)
  Noriko Mizoguchi
- Journal Title
  
  SIAM J. Math. Anal
  
  Volume: 52 Issue: 6 Pages: 5840-5864
- DOI
  10.1137/19m1280570
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23K20222
[Journal Article] Determination of blowup type in the parabolic-parabolic Keller-Segel system2019
- Author(s)
  N. Mizoguchi
- Journal Title
  
  Math. Ann.
  
  Volume: 印刷中 Issue: 1-2 Pages: 39-60
- DOI
  10.1007/s00208-018-1772-y
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26287021, KAKENHI-PROJECT-23K20222
[Journal Article] Blow-up behavior of solutions to a degenerate parabolic-parabolic Keller-Segel system2016
- Author(s)
  K. Ishige, Ph. Laurencot, N. Mizoguchi
- Journal Title
  
  Math. Ann.
  
  Volume: - Issue: 1-2 Pages: 461-499
- DOI
  10.1007/s00208-016-1400-7
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26287021, KAKENHI-PROJECT-15H02058, KAKENHI-PROJECT-25220702, KAKENHI-PROJECT-20K20284
[Journal Article] Type II blowup in the doubly parabolic Keller-Segel system in two dimensions2016
- Author(s)
  Noriko Mizoguchi
- Journal Title
  
  J. Functional Analysis
  
  Volume: 271 Issue: 11 Pages: 3323-3347
- DOI
  10.1016/j.jfa.2016.09.016
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26287021
[Journal Article] Finite time blowup for the parabolic-parabolic Keller-Segel system with critical diffusion2015
- Author(s)
  Ph. Laurencot, N. Mizoguchi
- Journal Title
  
  Ann. Inst. H. Poincare, Analyse non lineaire
  
  Volume: - Issue: 1 Pages: 197-220
- DOI
  10.1016/j.anihpc.2015.11.002
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26287021
[Journal Article] Nondegeneracy of blow-up points for the parabolic Keller-Segel system2014
- Author(s)
  N. Mizoguchi and P. Souplet
- Journal Title
  
  Ann. Inst. H. Poincare, Analyse Non Linaiere
  
  Volume: 31 Issue: 4 Pages: 851-875
- DOI
  10.1016/j.anihpc.2013.07.007
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23224003, KAKENHI-PROJECT-26287021
[Journal Article] On the uniqueness of $ L^1 $- continuation after blowup2008
- Author(s)
  N. Mizoguchi
- Journal Title
  
  Functional Analysis 254
  
  Pages: 2893-2910
- Data Source
  KAKENHI-PROJECT-19540210
[Journal Article] On the uniqueness of $ L〓 $-continuation after blowup2008
- Author(s)
  N. Mizoguchi
- Journal Title
  
  J. Functional Analysis 254
  
  Pages: 2893-2910
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540210
[Journal Article] Multiple continuation beyond blow- up2007
- Author(s)
  M. Fila and N. Mizoguchi
- Journal Title
  
  Differential Integral Equations 20
  
  Pages: 671-680
- Data Source
  KAKENHI-PROJECT-19540210
[Journal Article] Multiple continuation beyond blow-up2007
- Author(s)
  N. Mizoguchi and M. Fila
- Journal Title
  
  Differential Integral Equations 20
  
  Pages: 671-680
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540210
[Journal Article] Multiple blowup for nonlinear heat equations at different places and different times2007
- Author(s)
  N. Mizoguchi and J. L. Vazquez
- Journal Title
  
  Indiana Univ. Math. 56
  
  Pages: 2859-2886
- Data Source
  KAKENHI-PROJECT-19540210
[Journal Article] Multiple blowup for nonlinear heat equations at different places and different times2007
- Author(s)
  N. Mizoguchi and J. L. Vazquez
- Journal Title
  
  Indiana Univ. Math. J. 56
  
  Pages: 2859-2886
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540210
[Journal Article] Rate of type II blowup for a semilinear heat equation2007
- Author(s)
  N. Mizoguchi
- Journal Title
  
  Math. Ann. 339
  
  Pages: 839-877
- Data Source
  KAKENHI-PROJECT-19540210
[Journal Article] Multiple blowup of solutions for a semilinear heat equation II2006
- Author(s)
  N.Mizoguchi
- Journal Title
  
  J. Differential Equations 231
  
  Pages: 182-194
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540189
[Journal Article] Growup of solutions for a semilinear heat equation with supercritical nonlinearity2006
- Author(s)
  N.Mizoguchi
- Journal Title
  
  J. Differential Equations 227
  
  Pages: 652-669
- Data Source
  KAKENHI-PROJECT-15340052
[Journal Article] Multiple blowup of solutions for a semilinear heat equation II2006
- Author(s)
  N.Mizoguchi
- Journal Title
  
  J. Differential Equations 231
  
  Pages: 182-194
- Data Source
  KAKENHI-PROJECT-15340052
[Journal Article] Various behaviors of solutions for a semilinear heat equation after blowup2006
- Author(s)
  N.Mizoguchi
- Journal Title
  
  J. Functional Analysis 220
  
  Pages: 214-227
- Data Source
  KAKENHI-PROJECT-15340052
[Journal Article] Growup of solutions for a semilinear heat equation with supercritical nonlinearity2006
- Author(s)
  N.Mizoguchi
- Journal Title
  
  J.Differential Equations 227
  
  Pages: 652-669
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540189
[Journal Article] Multiple blowup of solutions for a semilinear heat equation II2006
- Author(s)
  N.Mizoguchi
- Journal Title
  
  J.Differential Equations 231
  
  Pages: 182-194
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540189
[Journal Article] Growup of solutions for a semilinear heat equation with supercritical nonlinearity2006
- Author(s)
  N.Mizoguchi
- Journal Title
  
  J. Differential Equations 227
  
  Pages: 652-669
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540189
[Journal Article] Multiple blowup of solutions for a semilinear heat equation2006
- Author(s)
  N.Mizoguchi
- Journal Title
  
  Math. Annalen 331
  
  Pages: 461-473
- Data Source
  KAKENHI-PROJECT-15340052
[Journal Article] Various behavior of solutions for a semilinear heat equation after blowup2005
- Author(s)
  N.Mizoguchi
- Journal Title
  
  J.Functional Analysis 220
  
  Pages: 214-227
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540189
[Journal Article] Boundedness of global solutions for a supercritical semilinear heat equation and its application2005
- Author(s)
  N.Mizoguchi
- Journal Title
  
  Inidiana Univ.Math.J. 54
  
  Pages: 1047-1059
- Data Source
  KAKENHI-PROJECT-17540189
[Journal Article] Various behaviors of solutions for a semilinear heat equation after blowup2005
- Author(s)
  N.Mizoguchi
- Journal Title
  
  J. Functional Analysis 220
  
  Pages: 214-227
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540189
[Journal Article] Multiple blowup of solutions for a semilinear heat equation2005
- Author(s)
  N.Mizoguchi
- Journal Title
  
  Math. Ann. 331
  
  Pages: 461-473
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540189
[Journal Article] Multiple blowup of solutions for a semilinear heat equation2005
- Author(s)
  N.Mizoguchi
- Journal Title
  
  Math.Ann. 331
  
  Pages: 461-473
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540189
[Journal Article] Various behaviors of solutions for a semilinear heat equation after blowup2005
- Author(s)
  N.Mizoguchi
- Journal Title
  
  J.Functional Analysis 220
  
  Pages: 214-227
- Data Source
  KAKENHI-PROJECT-17540189
[Journal Article] Boundedness of global solutions for a supercritical semilinear heat equation and its application2005
- Author(s)
  N.Mizoguchi
- Journal Title
  
  Indiana Univ.Math.J. 54
  
  Pages: 1047-1059
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540189
[Journal Article] Boundedness of global solutions for a supercritical semilinear heat equation and its application2005
- Author(s)
  N.Mizoguchi
- Journal Title
  
  Inidiana Univ. Math. J. 54
  
  Pages: 1047-1059
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540189
[Journal Article] On the blowup problem for a Nonlinear heat equation2004
- Author(s)
  Noriko Mizoguchi, K.Ishige
- Journal Title
  
  Mathematics
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540199
[Journal Article] 非線形熱方程式の爆発問題について2004
- Author(s)
  N.Mizoguchi, K.Ishige
- Journal Title
  
  数学第56巻第2号
- NAID
  10013123728
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540199
[Journal Article] Blow-up behavior for semilinear heat equations with Neumann boundary conditions2003
- Author(s)
  N.Mizoguchi, K.Ishige
- Journal Title
  
  Differential Integral Equations 16
  
  Pages: 663-690
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540199
[Journal Article] Blowup rate of solutions for a semilinear heat equation with the Dirichlet boundary condition2003
- Author(s)
  N.Mizoguchi
- Journal Title
  
  Asymptotic Analysis 193
  
  Pages: 212-238
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340052
[Journal Article] Blowup rate of solutions for a semilinear heat equation with the Neumann boundary condition2003
- Author(s)
  N.Mizoguchi
- Journal Title
  
  J.Differential Equations 193
  
  Pages: 212-238
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540199
[Journal Article] Blowup rate of solutions for a semilinear heat equation with the Dirichlet boundary condition2003
- Author(s)
  N.Mizoguchi
- Journal Title
  
  Asymptotic Analysis 35
  
  Pages: 91-112
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540199
[Journal Article] Location of blow-up set for a semilinear parabolic equation with large diffusion2003
- Author(s)
  N.Mizoguchi, K.Ishige
- Journal Title
  
  Math.Ann. 327
  
  Pages: 487-511
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540199
[Journal Article] Location of blowup set for a semilinear parabolic equation with large diffusion2003
- Author(s)
  Noriko Mizoguchi, K.Ishige
- Journal Title
  
  Math.Ann. 327
  
  Pages: 487-511
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540199
[Journal Article] Blowup rate of solutions for a semilinear heat equation with the Neumann boundary condition2003
- Author(s)
  Noriko Mizoguchi
- Journal Title
  
  J.Differential Equations 193
  
  Pages: 212-238
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540199
[Journal Article] Blowup rate of solutions for a semilinear heat equation with the Dirichlet boundary condition2003
- Author(s)
  Noriko Mizoguchi
- Journal Title
  
  Asymptotic Analysis 35
  
  Pages: 91-112
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540199
[Journal Article] Blowup rate of solutions for a semilinear heat equation with the Neumann boundary condition2003
- Author(s)
  Noriko Mizoguchi, K.Ishige
- Journal Title
  
  Differential Integral Equations 16
  
  Pages: 663-690
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540199
[Journal Article] Type II blowup for a semilinear heat equation
- Author(s)
  N.Mizoguchi
- Journal Title
  
  Adv.Differential Equations (in press)
- Data Source
  KAKENHI-PROJECT-15540199
[Journal Article] Blowup behavior of solutions for a semilinear heat equation with supercritical nonlinearity
- Author(s)
  N.Mizoguchi
- Journal Title
  
  J.Differential Equations (in press)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540199
[Journal Article] Blowup rate of type II and the braid group theory
- Author(s)
  N. Mizoguchi
- Journal Title
  
  Trans. Amer. Math. Soc. (to appear)
- Data Source
  KAKENHI-PROJECT-19540210
[Journal Article] Type II blowup for a semilinear heat equation
- Author(s)
  N.Mizoguchi
- Journal Title
  
  Adv.Differential Equations (in press)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540199
[Journal Article] Blowup behavior of solutions for a semilinear heat equation with supercritical nonlinearity
- Author(s)
  N.Mizoguchi
- Journal Title
  
  J.Differential Equations (in press)
- Data Source
  KAKENHI-PROJECT-15540199
[Journal Article] Blowup rate of type II and the braid group theory
- Author(s)
  N. Mizoguchi
- Journal Title
  
  Trans. Amer. Math. Soc. (to appear) (印刷中)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540210
[Journal Article] Multiple blowup of solutions for a semilinear heat equation
- Author(s)
  N.Mizoguchi
- Journal Title
  
  Math.Ann (to appear)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540199
[Journal Article] Multiple blowup of solutions for a semilinear heat equation
- Author(s)
  N.Mizoguchi
- Journal Title
  
  Math.Ann. (to appear)
- Data Source
  KAKENHI-PROJECT-15540199
[Journal Article] Type-II blowup of solutions to an elliptic-parabolic system
- Author(s)
  N. Mizoguchi and T. Senba
- Journal Title
  
  .Adv. Math. Sci. Appl. (to appear) (印刷中)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540210
[Journal Article] Blowup behavior of solutions for a semilinear heat equation with supercritical nonlinearity
- Author(s)
  Noriko Mizoguchi
- Journal Title
  
  J.Differential Equations (in press)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540199
[Journal Article] Growup of solutions for a semilinear heat equation with supercritical nonlinearity
- Author(s)
  N.Mizoguchi
- Journal Title
  
  J.Differential Equations (to appear)
- Data Source
  KAKENHI-PROJECT-17540189
[Journal Article] Type II blowup for a semilinear heat equation
- Author(s)
  Noriko Mizoguchi
- Journal Title
  
  Adv.Differential Equations (in press)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540199
[Journal Article] Various behaviors of solutions for a semilinear heat equation after blowup
- Author(s)
  N.Mizoguchi
- Journal Title
  
  J.Functional Analysis (in press)
- Data Source
  KAKENHI-PROJECT-15540199
[Journal Article] Multiple blowup of solutions for a semilinear heat equation
- Author(s)
  Noriko Mizoguchi
- Journal Title
  
  Math.Ann (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540199
[Journal Article] Blowup rate of type II and the braid group theory
- Author(s)
  N. Mizoguchi
- Journal Title
  
  Trans. Amer. Math. Soc. (印刷中)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540210
[Journal Article] Various behaviors of solutions for a semilinear heat equation after blowup
- Author(s)
  N.Mizoguchi
- Journal Title
  
  J.Functional Analysis (in press)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540199
[Journal Article] On the uniqueness of $ L^1 $-continuation after blowup
- Author(s)
  N. Mizoguchi
- Journal Title
  
  J. Functional Analysis (to appear) (印刷中)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540210
[Journal Article] Various behaviors of solutions for a semilinear heat equation after blowup
- Author(s)
  Noriko Mizoguchi
- Journal Title
  
  J.Functional Analysis (in press)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540199
[Presentation] Long Time Behavior and Singularity Formation in PDEs-Part III \\ Classification of GBU and RBC behaviors in the viscous Hamilton-Jacobi equation2021
- Author(s)
  Noriko Mizoguchi
- Organizer
  Long Time Behavior and Singularity Form ation in PDEs, SITE Conference, NYU (Abu Dhabi)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K20222
[Presentation] Singularity formation and regularization at multiple times in the viscous Hamilton-Jacobi equation2020
- Author(s)
  Noriko Mizoguchi
- Organizer
  『応用解析』研究会, 早稲田大学
- Invited
- Data Source
  KAKENHI-PROJECT-23K20222
[Presentation] Finite-time blowup in a Cauchy problem of parabolic-parabolic chemotaxis system2018
- Author(s)
  溝口紀子
- Organizer
  京都大学NLPDEセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-26287021
[Presentation] Finite-time blowup in a degenerate parabolic-parabolic Keller-Segel system2017
- Author(s)
  Noriko Mizoguchi
- Organizer
  PDE Seminar
- Place of Presentation
  University of Minnesota, Minnesota, USA
- Year and Date
  2017-02-08
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26287021
[Presentation] Finite-time blowup in the degenerate parabolic Keller-Segel system with critical diffusion2016
- Author(s)
  Noriko Mizoguchi
- Organizer
  Workshop on nonlinear partial differential equations and related topics.
- Place of Presentation
  石川県文教会館 (石川県・金沢市)
- Year and Date
  2016-05-09
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26287021
[Presentation] Type II blowup in a parabolic-parabolic chemotaxis system2016
- Author(s)
  N. Mizoguchi
- Organizer
  PDE Seminar
- Place of Presentation
  University of Minnesota,Minneapolis, USA
- Year and Date
  2016-02-17
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26287021
[Presentation] Nonexistence of type I blowup solutions to parabolic-parabolic Keller-Segel system2016
- Author(s)
  N. Mizoguchi
- Organizer
  Variational Problems and Nonlinear Partial Differential Equations 2016
- Place of Presentation
  東京理科大学
- Year and Date
  2016-03-23
- Invited
- Data Source
  KAKENHI-PROJECT-26287021
[Presentation] Finite-time blowup in the parabolic-parabolic Keller-Segel system2015
- Author(s)
  Noriko Mizoguchi
- Organizer
  PDE Seminar
- Place of Presentation
  University of Minnesota, USA
- Year and Date
  2015-02-11
- Invited
- Data Source
  KAKENHI-PROJECT-26287021
[Presentation] Nonexistence of Type I Blowup Solutions to Parabolic-parabolic Keller-Segel System2015
- Author(s)
  溝口紀子
- Organizer
  日本数学会秋季総合分科会　函数方程式論分科会
- Place of Presentation
  京都産業大学
- Year and Date
  2015-09-13
- Data Source
  KAKENHI-PROJECT-26287021
[Presentation] 非線形放物型方程式の爆発解2014
- Author(s)
  N. Mizoguchi
- Organizer
  日本数学会年会総合講演
- Place of Presentation
  学習院大学
- Invited
- Data Source
  KAKENHI-PROJECT-23224003
[Presentation] Optimal criterion for finite-time blowup in Keller-Segel system2014
- Author(s)
  Noriko Mizoguchi
- Organizer
  Mathematical properties of solutions to models of chemotaxis
- Place of Presentation
  University of Wroclaw, Poland
- Year and Date
  2014-10-09
- Invited
- Data Source
  KAKENHI-PROJECT-26287021
[Presentation] Nonexistence of backward self-similar blowup solution to a supercritical semilinear heat equation2009
- Author(s)
  N. Mizoguchi
- Organizer
  Third Euro-Japanese Workshop on Blow up
- Place of Presentation
  東北大学
- Year and Date
  2009-09-08
- Data Source
  KAKENHI-PROJECT-19540210
[Presentation] On Backward Self-similar Blowup Solutions to a Supercritical Semilinear Heat Equation2009
- Author(s)
  N. Mizoguchi
- Organizer
  日本数学会2009年度年会函数方程式論分科会
- Place of Presentation
  東京大学
- Year and Date
  2009-03-28
- Data Source
  KAKENHI-PROJECT-19540210
[Presentation] On backward self-similar blowup solutions to a supercritical semilinear heat equation2009
- Author(s)
  N. Mizoguchi
- Organizer
  Seminar in Paris Nord
- Place of Presentation
  Paris Nord
- Year and Date
  2009-02-06
- Data Source
  KAKENHI-PROJECT-19540210
[Presentation] On backward self- similar blowup solutions to a supercritical semilinear heat equation2009
- Author(s)
  N. Mizoguchi
- Organizer
  Seminar in Paris Nord
- Place of Presentation
  Paris Nord
- Year and Date
  2009-02-06
- Data Source
  KAKENHI-PROJECT-19540210
[Presentation] On the uniqueness of $ L^1 $-continuation after blowup2008
- Author(s)
  N. Mizoguchi
- Organizer
  日本数学会年会函数方程式論分科会
- Place of Presentation
  近畿大学
- Year and Date
  2008-03-25
- Data Source
  KAKENHI-PROJECT-19540210
[Presentation] Blowup rate of type II and the braid group theory2008
- Author(s)
  N. Mizoguchi
- Organizer
  PDE Work Shop
- Place of Presentation
  National Taiwan University
- Year and Date
  2008-01-16
- Data Source
  KAKENHI-PROJECT-19540210
[Presentation] Nonexistence of backward self-similar blowup solution to a supercritical semilinear heat equation2008
- Author(s)
  N. Mizoguchi
- Organizer
  『応用解析』研究会
- Place of Presentation
  早稲田大学
- Year and Date
  2008-05-24
- Data Source
  KAKENHI-PROJECT-19540210
[Presentation] On Backward Self- similar Blowup Solutions to a Supercritical Semilinear Heat Equation2008
- Author(s)
  N. Mizoguchi
- Organizer
  日本数学会2009年度年会函数方程式論分科会
- Place of Presentation
  東京大学
- Year and Date
  2008-03-28
- Data Source
  KAKENHI-PROJECT-19540210
[Presentation] On the uniqueness of $ L^1 $- continuation after blowup2008
- Author(s)
  N. Mizoguchi
- Organizer
  日本数学会2008年度年会函数方程式論分科会
- Place of Presentation
  近畿大学
- Year and Date
  2008-03-25
- Data Source
  KAKENHI-PROJECT-19540210
[Presentation] Blowup rate of type II and the braid group theory2008
- Author(s)
  N. Mizoguchi
- Organizer
  PDE seminar
- Place of Presentation
  University of Minnesota
- Year and Date
  2008-02-13
- Data Source
  KAKENHI-PROJECT-19540210
[Presentation] Nonexistence of backward self-similar blowup solution to a supercritical semilinear heat equation2008
- Author(s)
  N. Mizoguchi
- Organizer
  日本数学会秋季総合分科会函数方程式論分科会
- Place of Presentation
  東京工業大学
- Year and Date
  2008-09-26
- Data Source
  KAKENHI-PROJECT-19540210
[Presentation] Blowup rate of type II and the braid group theory2008
- Author(s)
  N. Mizoguchi
- Organizer
  PDE Work Shop
- Place of Presentation
  National Taiwan Univ.
- Year and Date
  2008-01-16
- Data Source
  KAKENHI-PROJECT-19540210
[Presentation] Nonexistence of backward selfsimilar blowup solution to a supercritical semilinear heat equation2008
- Author(s)
  N. Mizoguchi
- Organizer
  『応用解析』研究会
- Place of Presentation
  早稲田大学
- Year and Date
  2008-05-24
- Data Source
  KAKENHI-PROJECT-19540210
[Presentation] Nonexistence of backward self- similar blowup solution to a supercritical semilinear heat equation2008
- Author(s)
  N. Mizoguchi
- Organizer
  Third Euro- Japanese Workshop on Blow up
- Place of Presentation
  東北大学
- Year and Date
  2008-09-08
- Data Source
  KAKENHI-PROJECT-19540210
[Presentation] Nonexistence of backward self- similar blowup solutions to a supercritical semilinear heat equation2008
- Author(s)
  N. Mizoguchi
- Organizer
  日本数学会秋季総合分科会函数方程式論分科会
- Place of Presentation
  東京工業大学
- Year and Date
  2008-09-26
- Data Source
  KAKENHI-PROJECT-19540210
[Presentation] Blowup rate of type II and the braid group theory2008
- Author(s)
  N. Mizoguchi
- Organizer
  PDE seminar
- Place of Presentation
  Univ. of Minnesota
- Year and Date
  2008-02-13
- Data Source
  KAKENHI-PROJECT-19540210
[Presentation] Blowup rate of type II and the braid group theory2007
- Author(s)
  N. Mizoguchi
- Organizer
  日本数学会秋季総合分科会函数方程式論分科会
- Place of Presentation
  東北大学
- Year and Date
  2007-09-24
- Data Source
  KAKENHI-PROJECT-19540210
[Presentation] Blowup rate of type II and the braid group theory2007
- Author(s)
  N. Mizoguchi
- Organizer
  微分方程式の総合的研究
- Place of Presentation
  東京大学
- Data Source
  KAKENHI-PROJECT-19540210
[Presentation] 組みひも群の非線形拡散方程式の解の爆発への応用2007
- Author(s)
  N. Mizoguchi
- Organizer
  京都解析コロキウム
- Place of Presentation
  京都大学
- Year and Date
  2007-11-17
- Data Source
  KAKENHI-PROJECT-19540210
[Presentation] Blowup rate of type II and the braid group theory2007
- Author(s)
  N. Mizoguchi
- Organizer
  東北大学談話会
- Place of Presentation
  東北大学
- Year and Date
  2007-06-11
- Data Source
  KAKENHI-PROJECT-19540210
[Presentation] Blowup rate of type II and the braid group theory2007
- Author(s)
  N. Mizoguchi
- Organizer
  日本数学会秋季総合分科会函数方程式論分科会
- Place of Presentation
  東北大学
- Year and Date
  2007-09-23
- Data Source
  KAKENHI-PROJECT-19540210
[Presentation] Type II blowup in the doubly parabolic Keller-Segel system in the two dimension
- Author(s)
  Noriko Mizoguchi
- Organizer
  日本数学会年会　函数方程式論分科会
- Place of Presentation
  明治大学
- Year and Date
  2015-03-21 – 2015-03-24
- Data Source
  KAKENHI-PROJECT-26287021
[Presentation] A new proof to finite-time blowup in the parabolic-parabolic Keller-Segel system
- Author(s)
  Noriko Mizoguchi
- Organizer
  日本数学会秋季総合分科会　函数方程式論分科会
- Place of Presentation
  広島大学
- Year and Date
  2014-09-25 – 2014-09-28
- Data Source
  KAKENHI-PROJECT-26287021
[Presentation] Finite-time blowup for the parabolic-parabolic Keller-Segel system with critical diffusion
- Author(s)
  Noriko Mizoguchi
- Organizer
  日本数学会秋季総合分科会　函数方程式論分科会
- Place of Presentation
  広島大学
- Year and Date
  2014-09-25 – 2014-09-28
- Data Source
  KAKENHI-PROJECT-26287021

1. YANAGIDA Eiji (80174548)

# of Collaborated Projects: 8 results

# of Collaborated Products: 0 results
2. KUBOTA Yoshihisa (30014715)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
3. 徳弘好 (00014811)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
4. INABA Hisashi (80282531)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
5. NINOMIYA Hirokazu (90251610)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
6. Tsutsumi Yoshio (10180027)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
7. YAMADA Akira (60126331)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
8. Nakanishi Kenji (40322200)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
9. 関沢正躬 (80014835)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
10. 田中祥雄 (90014810)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
11. 細川洋 (50015575)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
12. 池田義人 (70014834)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
13. 高田了 (50713236)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
14. TAKAHASHI Katsuo (90114529)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. YAMADA Michio (90166736)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. MASUMOTO Makoto (50173761)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. YANAGIHARA Hiroshi (30200538)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. ITO Ichiro (60134764)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. TAKAGI Izumi (40154744)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. CHIHARA Hiroyuki (70273068)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. EI Shin-Ichiro (30201362)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
22. Okamoto Hisashi (40143359)

# of Collaborated Projects: 1 results

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23. Sawano Yoshihiro (40532635)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
24. Kishimoto Nobu (90610072)

# of Collaborated Projects: 1 results

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25. Takaoka Hideo (10322794)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
26. Maeda Masaya (40615001)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
27. Kato Takamori (50620639)

# of Collaborated Projects: 1 results

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28. Miyaji Tomoyuki (20613342)

# of Collaborated Projects: 1 results

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29. Sasaki Youhei (70583459)

# of Collaborated Projects: 1 results

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30. 竹内伸子 (70216852)

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31. 宮地淳一 (50209920)

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32. 政池寛三 (40015798)

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33. 仙葉隆 (30196985)

# of Collaborated Projects: 1 results

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34. 三村昌泰 (50068128)

# of Collaborated Projects: 1 results

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35. 飯田雅人 (00242264)

# of Collaborated Projects: 1 results

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36. Sverak Vladimir

# of Collaborated Projects: 1 results

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37. Souplet Philippe

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Mizoguchi Noriko 溝口 紀子

MIZOGUCHI Noriko 溝口 紀子

Research Projects

Research Products

Co-Researchers

放物型-放物型走化性方程式系における有限時間での特異性発現のメカニズムの解明Principal Investigator

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Blowup phenomena in chemotaxis systemPrincipal Investigator

Principal Investigator

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Review Section

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Analysis on blowup phenomena in nonlinear parabolic systemsPrincipal Investigator

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Concentration Phenomena and Structure of Solution for Nonlinear Evolution Equations

Principal Investigator

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On the singularity and the behaviors of solutions for parabolic equations with supercritical nonlinearityPrincipal Investigator

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On the singularity of solutions for nonlinear parabolic equationPrincipal Investigator

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Dynamics on Nonlinear Diffusive Systems and Analysis of Singularities

Principal Investigator

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On the analysis of blowup phenomena for a nonlinear parabolic equationPrincipal Investigator

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On the behavior of solutions for nonlinear parabolic or elliptic equationsPrincipal Investigator

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Conformal invariants of Riemann surfaces and theta functions

Principal Investigator

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非線形放物型方程式の解の挙動とメカニズムの解明Principal Investigator

Principal Investigator

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非線形放物型方程式の解の挙動の研究Principal Investigator

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Mathematical studies on spatial and temporal patterns in reaction-diffusion systems

Principal Investigator

Project Period (FY)

Mizoguchi Noriko 溝口紀子

MIZOGUCHI Noriko 溝口紀子