SOBAJIMA MOTOHIRO 側島基宏

Researcher Number	20760367
Other IDs
Affiliation (Current)	2025: 東京理科大学, 創域理工学部数理科学科, 准教授
Affiliation (based on the past Project Information) *help	2018 – 2021: 東京理科大学, 理工学部数学科, 講師 2016 – 2017: 東京理科大学, 理工学部数学科, 助教
Review Section/Research Field	Principal Investigator Basic Section 12020:Mathematical analysis-related / Basic analysis
Keywords	Principal Investigator 非線形消散型波動方程式 / 波動方程式 / 非有界な係数をもつ楕円型作用素 / 消散型波動方程式 / 外部問題 / 非線形波動方程式 / Rellichの不等式 / 特異極限 / 半線形熱方程式系 / 高次漸近展開 … More / 漸近展開 / 関数解析学 / 解析学基礎 / 偏微分方程式論 / 関数解析 / 作用素論 / 藤田型熱方程式 / 藤田型方程式 / テスト関数法 / 半線形熱方程式 / 非有界な係数 / 2階楕円型作用素 Less

Studies on the thoery of elliptic operators with unbounded coefficients and applicationsPrincipal Investigator
- Principal Investigator
  
  Sobajima Motohiro
- Project Period (FY)
  2018 – 2021
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Tokyo University of Science
Study of second order elliptic operators with unbounded coefficientsPrincipal Investigator
- Principal Investigator
  
  SOBAJIMA MOTOHIRO
- Project Period (FY)
  2016 – 2018
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Basic analysis
- Research Institution
  Tokyo University of Science

All 2022 2021 2020 2019 2018 2017 2016

All Journal Article Presentation

[Journal Article] Singular limit problem of abstract second order evolution equations2022
- Author(s)
  Motohiro Sobajima, Ryo Ikehata
- Journal Title
  
  Hokkaido Mathematical Journal
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13445
[Journal Article] Higher-order asymptotic expansion for abstract linear second-order differential equations with time-dependent coefficients2022
- Author(s)
  Sobajima Motohiro
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 327 Pages: 226-258
- DOI
  10.1016/j.jde.2022.04.024
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13445
[Journal Article] On global existence for semilinear wave equations with space-dependent critical damping2022
- Author(s)
  Motohiro Sobajima
- Journal Title
  
  Journal of the Mathematical Society of Japan
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13445
[Journal Article] Blow-up for Strauss type wave equation with damping and potential2021
- Author(s)
  Dai Wei、Kubo Hideo、Sobajima Motohiro
- Journal Title
  
  Nonlinear Analysis: Real World Applications
  
  Volume: 57 Pages: 103195-103195
- DOI
  10.1016/j.nonrwa.2020.103195
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13445, KAKENHI-PROJECT-19H01795
[Journal Article] Global existence of solutions to a weakly coupled critical parabolic system in two-dimensional exterior domains2021
- Author(s)
  Sobajima Motohiro
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume: 501 Issue: 2 Pages: 125214-125214
- DOI
  10.1016/j.jmaa.2021.125214
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13445
[Journal Article] Remark on one dimensional semilinear damped wave equation in a critical weighted L^2-space2021
- Author(s)
  Motohiro Sobajima, Yuta Wakasugi
- Journal Title
  
  Geometric Properties for Parabolic and Elliptic PDEs
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13445
[Journal Article] Supersolutions for parabolic equations with unbounded or degenerate diffusion coefficients and their applications to some classes of parabolic and hyperbolic equations2021
- Author(s)
  SOBAJIMA Motohiro、WAKASUGI Yuta
- Journal Title
  
  Journal of the Mathematical Society of Japan
  
  Volume: 73 Issue: 4 Pages: 1091-1128
- DOI
  10.2969/jmsj/83928392
- NAID
  130008106924
- ISSN
  0025-5645, 1881-1167, 1881-2333
- Language
  English
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K17625, KAKENHI-PROJECT-18K13445, KAKENHI-PROJECT-20K14346
[Journal Article] Rellich inequalities in bounded domains2020
- Author(s)
  Giorgio Metafune, Luigi Negro, Motohiro Sobajima, Chiara Spina
- Journal Title
  
  Mathematische Annalen
  
  Volume: 印刷中 Issue: 1-2 Pages: 765-824
- DOI
  10.1007/s00208-019-01947-9
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13445
[Journal Article] Lifespan of solutions to nonlinear Schr\"odinger equations with general homogeneous nonlinearity of the critical order2020
- Author(s)
  Hayato Miyazaki, Motohiro Sobajima
- Journal Title
  
  Advances in Harmonic Analysis and Partial Differential Equations
  
  Volume: - Pages: 197-207
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13445
[Journal Article] Finite time blowup of solutions to semilinear wave equation in an exterior domain2020
- Author(s)
  Motohiro Sobajima, Kyouhei Wakasa
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume: 484 Issue: 1 Pages: 123667-123667
- DOI
  10.1016/j.jmaa.2019.123667
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13445, KAKENHI-PROJECT-18H01132
[Journal Article] Higher order asymptotic expansion of solutions to abstract linear hyperbolic equations2020
- Author(s)
  Motohiro Sobajima
- Journal Title
  
  Mathematische Annalen
  
  Volume: 印刷中 Issue: 1-2 Pages: 1-19
- DOI
  10.1007/s00208-020-01959-w
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13445
[Journal Article] Sharp upper bound for lifespan of solutions to some critical semilinear parabolic, dispersive and hyperbolic equations via a test function method2019
- Author(s)
  M.Ikeda and M.Sobajima
- Journal Title
  
  Nonlinear Analysis, TMA
  
  Volume: 182 Pages: 57-74
- DOI
  10.1016/j.na.2018.12.009
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18H01132, KAKENHI-PROJECT-16K17619
[Journal Article] Global existence of solutions to semilinear damped wave equation with slowly decaying inital data in exterior domain2019
- Author(s)
  Motohiro Sobajima
- Journal Title
  
  Differential and Integral Equations
  
  Volume: 32 Pages: 615-638
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13445
[Journal Article] Elliptic and parabolic problems for a class of operators with discontinuous coefficients2019
- Author(s)
  Giorgio Metafune, Motohiro Sobajima, Chiara Spina
- Journal Title
  
  ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA - CLASSE DI SCIENZE
  
  Volume: 19 Pages: 1-54
- DOI
  10.2422/2036-2145.201605_002
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17619
[Journal Article] Remark on upper bound for lifespan of solutions to semilinear evolution equations in a two-dimensional exterior domain2019
- Author(s)
  Masahiro Ikeda, Motohiro Sobajima
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume: 470 Issue: 1 Pages: 318-326
- DOI
  10.1016/j.jmaa.2018.10.004
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K17619
[Journal Article] Sharp lifespan estimates of blowup solutions to semi-linear wave equations with time-dependent effective damping2019
- Author(s)
  Ikeda Masahiro、Sobajima Motohiro、Wakasugi Yuta
- Journal Title
  
  Journal of Hyperbolic Differential Equations
  
  Volume: 16 Issue: 03 Pages: 495-517
- DOI
  10.1142/s0219891619500176
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K17625, KAKENHI-PROJECT-18K13445, KAKENHI-PROJECT-19K14581, KAKENHI-PROJECT-18H01132
[Journal Article] Life-span of blowup solutions to semilinear wave equation with space-dependent critical damping2019
- Author(s)
  Masahiro Ikeda, Motohiro Sobajima
- Journal Title
  
  FUNKCIALAJ EKVACIOJ
  
  Volume: 印刷中
- NAID
  130008083382
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K17619
[Journal Article] Weighted energy estimates for wave equation with space-dependent damping term for slowly decaying initial data2019
- Author(s)
  Motohiro Sobajima, Yuta Wakasugi
- Journal Title
  
  Communications in Contemporary Mathematics
  
  Volume: 印刷中 Issue: 05 Pages: 1850035-1850035
- DOI
  10.1142/s0219199718500359
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K17619, KAKENHI-PROJECT-16K17625, KAKENHI-PROJECT-18H01132
[Journal Article] Lp-analysis of one-dimensional repulsive Hamiltonian with a class of perturbations2018
- Author(s)
  Motohiro Sobajima, Kentarou Yoshii
- Journal Title
  
  AIMS Mathematics
  
  Volume: 3 Issue: 1 Pages: 21-34
- DOI
  10.3934/math.2018.1.21
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-16K17619
[Journal Article] Diffusion phenomena for the wave equation with space-dependent damping term growing at infinity2018
- Author(s)
  Motohiro Sobajima, Yuta Wakasugi
- Journal Title
  
  Advances in Differential Equations
  
  Volume: 23 Pages: 581-614
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K17619
[Journal Article] Critical exponent for the semilinear wave equations with a damping increasing in the far field2018
- Author(s)
  Nishihara Kenji、Sobajima Motohiro、Wakasugi Yuta
- Journal Title
  
  Nonlinear Differential Equations and Applications NoDEA
  
  Volume: 25 Issue: 6
- DOI
  10.1007/s00030-018-0546-2
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K17625, KAKENHI-PROJECT-18K13445
[Journal Article] Life-span of solutions to semilinear wave equation with time-dependent critical damping for specially localized initial data2018
- Author(s)
  Masahiro Ikeda, Motohiro Sobajima
- Journal Title
  
  Mathematische Annalen
  
  Volume: 未定 Issue: 3-4 Pages: 1017-1040
- DOI
  10.1007/s00208-018-1664-1
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K17571, KAKENHI-PROJECT-16K17619
[Journal Article] An elementary proof of asymptotic behavior of solutions of u′′=Vu2017
- Author(s)
  Giorgio Metafune, Motohiro Sobajima
- Journal Title
  
  Proceedings of Equadiff 2017 Conference
  
  Volume: - Pages: 369-376
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17619
[Journal Article] Remarks on an elliptic problem arising in weighted energy estimates for wave equations with space-dependent damping term in an exterior domain2017
- Author(s)
  M. Sobajima and Y. Wakasugi
- Journal Title
  
  AIMS Mathematics
  
  Volume: 2 Issue: 1 Pages: 1-15
- DOI
  10.3934/math.2017.1.1
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-15J01600, KAKENHI-PROJECT-16K17619
[Journal Article] Kernel estimates for elliptic opertators with second order discontinuous coefficients2017
- Author(s)
  Giorgio Metafune, Motohiro Sobajima, Chiara Spina
- Journal Title
  
  Journal of Evolution Equations
  
  Volume: 17 Issue: 1 Pages: 485-522
- DOI
  10.1007/s00028-016-0355-1
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17619
[Journal Article] Diffusion phenomena for the wave equation with space-dependent damping in an exterior domain2016
- Author(s)
  M. Sobajima and Y. Wakasugi
- Journal Title
  
  J. Differential Equations
  
  Volume: 261 Issue: 10 Pages: 5690-5718
- DOI
  10.1016/j.jde.2016.08.006
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15J01600, KAKENHI-PROJECT-16K17619
[Presentation] Weighted energy estimates for wave equations with space-dependent damping2022
- Author(s)
  側島　基宏
- Organizer
  日本数学会2022年度年会　函数方程式論分科会
- Invited
- Data Source
  KAKENHI-PROJECT-18K13445
[Presentation] On asymptotic expansion for solutions of damped wave equations in exterior domains2021
- Author(s)
  Motohiro Sobajima
- Organizer
  第12回名古屋微分方程式研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-18K13445
[Presentation] 消散型波動方程式に関連する特異極限問題について2021
- Author(s)
  側島　基宏
- Organizer
  熊本大学応用解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-18K13445
[Presentation] Higher order asymptotic expansion for abstract linear hyperbolic equations2020
- Author(s)
  Motohiro Sobajima
- Organizer
  第21 回北東研究会
- Invited
- Data Source
  KAKENHI-PROJECT-18K13445
[Presentation] On blowup solutions of semilinear wave equations and their weakly coupled systems2019
- Author(s)
  Masahiro Ikeda, Motohiro Sobajima, Kyouhei
- Organizer
  日本数学会2018年度年会函数方程式論分科会
- Data Source
  KAKENHI-PROJECT-18K13445
[Presentation] On test function methods for nonlinear wave equations2019
- Author(s)
  Motohiro Sobajima
- Organizer
  三重偏微分方程式研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-18K13445
[Presentation] Critical exponent for the semilinear wave equations with a damping increasing in the far field2019
- Author(s)
  Kenji Nishihara, Motohiro Sobajima, Yuta Wakasugi
- Organizer
  日本数学会2018年度年会函数方程式論分科会
- Data Source
  KAKENHI-PROJECT-18K13445
[Presentation] Global existence for a critical weakly coupled parabolic system in 2d-exterior domain2019
- Author(s)
  Motohiro Sobajima
- Organizer
  the VI Italian-Japanese Workshop “Geometric properties for parabolic and elliptic PDE’s
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13445
[Presentation] あるクラスの非有界な係数をもつSchr¨odinger 作用素の自己共役性について2019
- Author(s)
  Motohiro Sobajima
- Organizer
  静岡複素解析幾何セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-18K13445
[Presentation] Semilinear damped wave equation with slowly decaying initial data in exterior domain2019
- Author(s)
  Motohiro Sobajima
- Organizer
  北海道大学偏微分方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-18K13445
[Presentation] On test function method for semilinear wave equations with scale-invariant damping2019
- Author(s)
  Motohiro Sobajima
- Organizer
  RIMS 共同研究（公開型）「常微分方程式における最近の動向とその発展」
- Invited
- Data Source
  KAKENHI-PROJECT-18K13445
[Presentation] Finite time blowup of solutions to semilinear wave equation in an exterior domain2019
- Author(s)
  Motohiro Sobajima
- Organizer
  The 17th Linear and Nonlinear Waves
- Invited
- Data Source
  KAKENHI-PROJECT-18K13445
[Presentation] Global existence of solutions to semilinear damped wave equation with slowly decaying initial data in exterior domain2019
- Author(s)
  Motohiro Sobajima
- Organizer
  Workshop on PDEs in Direct and Inverse Problems 2019
- Invited
- Data Source
  KAKENHI-PROJECT-18K13445
[Presentation] Remark on lifespan estimates for semilinear wave equations and their weakly coupled systems2018
- Author(s)
  Motohiro Sobajima
- Organizer
  One-day workshop on nonlinear dispersive equations in Osaka
- Invited
- Data Source
  KAKENHI-PROJECT-18K13445
[Presentation] On a test function method for blowup of solutions to semilinear damped wave equations2018
- Author(s)
  Masahiro Ikeda, Motohiro Sobajima
- Organizer
  日本数学会秋季総合分科会
- Data Source
  KAKENHI-PROJECT-16K17619
[Presentation] Analytic semigroups generated by scale invariant elliptic operators and related inequalities II2018
- Author(s)
  Motohiro Sobajima
- Organizer
  RIMS共同研究（グループ型）「スペクトル解析におけるスケール不変構造と摂動論の新展開」
- Invited
- Data Source
  KAKENHI-PROJECT-16K17619
[Presentation] Sharp lifespan estimates for solutions to two-dimensional semilinear heat equation in exterior domains2018
- Author(s)
  Motohiro Sobajima
- Organizer
  日本数学会秋季総合分科会
- Data Source
  KAKENHI-PROJECT-16K17619
[Presentation] On lifespan for two dimensional semilinear heat equation in exterior domain2018
- Author(s)
  Motohiro Sobajima
- Organizer
  International Workshop on “Fundamental Problems in Mathematical and Theoretical Physics”
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17619
[Presentation] On lifespan estimate for solutions of a semilinear damped wave equation via a test function method2018
- Author(s)
  Motohiro Sobajima
- Organizer
  Critical exponent and nonlinear evolution equations 2018
- Invited
- Data Source
  KAKENHI-PROJECT-16K17619
[Presentation] On blowup phenomena of semilinear wave equations and their weakly coupled systems2018
- Author(s)
  Motohiro Sobajima
- Organizer
  第8回弘前非線形方程式研究会
- Invited
- Data Source
  KAKENHI-PROJECT-18K13445
[Presentation] Analytic semigroups generated by scale invariant elliptic operators and related inequalities I2018
- Author(s)
  Motohiro Sobajima
- Organizer
  RIMS共同研究（グループ型）「スペクトル解析におけるスケール不変構造と摂動論の新展開」
- Invited
- Data Source
  KAKENHI-PROJECT-16K17619
[Presentation] Blow up solutions of semilinear heat equation2018
- Author(s)
  Motohiro Sobajima
- Organizer
  Seminario (University of Salento)
- Invited
- Data Source
  KAKENHI-PROJECT-16K17619
[Presentation] Life-span of blowup solutions to semilinear wave equation with space dependent critical damping2018
- Author(s)
  Masahiro Ikeda, Motohiro Sobajima
- Organizer
  日本数学会年会函数方程式論分科会
- Data Source
  KAKENHI-PROJECT-16K17619
[Presentation] スケール臨界な時間変数に依存した係数を摩擦項に持つ波動方程式の解の最大存在時刻について2018
- Author(s)
  Masahiro Ikeda, Motohiro Sobajima
- Organizer
  日本数学会2018年度年会函数方程式論分科会
- Data Source
  KAKENHI-PROJECT-16K17619
[Presentation] Life-span of blowup solutions to semilinear wave equation with space dependent critical damping2018
- Author(s)
  Masahiro Ikeda, Motohiro Sobajima
- Organizer
  日本数学会2018年度年会函数方程式論分科会
- Data Source
  KAKENHI-PROJECT-16K17619
[Presentation] スケール臨界な時間変数に依存した係数を摩擦項に持つ波動方程式の解の最大存在時刻について2018
- Author(s)
  Masahiro Ikeda, Motohiro Sobajima
- Organizer
  日本数学会年会函数方程式論分科会
- Data Source
  KAKENHI-PROJECT-16K17619
[Presentation] スケール臨界の摩擦項をもつ非線形波動方程式の解の爆発について2018
- Author(s)
  Motohiro Sobajima
- Organizer
  第26回さいたま数理解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-16K17619
[Presentation] 2次元外部領域における半線形熱方程式の解の爆発について2018
- Author(s)
  Motohiro Sobajima
- Organizer
  第167回愛媛大学解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-16K17619
[Presentation] Test function method for blowup of solutions to semilinear evolution equations in sectorial domain2018
- Author(s)
  Motohiro Sobajima
- Organizer
  RIMS共同研究（公開型）「非線形発展方程式を基盤とする現象解析に向けた数学理論の展開」
- Invited
- Data Source
  KAKENHI-PROJECT-16K17619
[Presentation] Diffusion phenomena for the wave equation with space-dependent damping in an exterior domain2017
- Author(s)
  Motohiro Sobajima, Yuta Wakasugi
- Organizer
  日本数学会2017年度年会　関数方程式論分科会
- Place of Presentation
  首都大学東京　南大沢キャンパス
- Data Source
  KAKENHI-PROJECT-16K17619
[Presentation] Weighted energy estimates for damped wave equation with slowly decaying initial data2017
- Author(s)
  Motohiro Sobajima
- Organizer
  第8回拡散と移流の数理
- Invited
- Data Source
  KAKENHI-PROJECT-16K17619
[Presentation] |x|^αΔを主要項にもつ楕円型作用素が生成する解析半群の積分核評価2017
- Author(s)
  Motohiro Sobajima, Giorgio Metafune, Chiara Spina
- Organizer
  日本数学会2017年度年会　関数方程式論分科会
- Place of Presentation
  首都大学東京　南大沢キャンパス
- Data Source
  KAKENHI-PROJECT-16K17619
[Presentation] On L^p-theory for second order elliptic operators with unbounded diffusion coefficients2017
- Author(s)
  Motohiro Sobajima
- Organizer
  Global properties in potential theory of continuous and discrete spaces
- Invited
- Data Source
  KAKENHI-PROJECT-16K17619
[Presentation] 空間遠方で増大する摩擦項を伴う波動方程式のエネルギー評価について2017
- Author(s)
  Motohiro Sobajima
- Organizer
  第81回埼玉大学解析ゼミ
- Invited
- Data Source
  KAKENHI-PROJECT-16K17619
[Presentation] 空間変数に依存するスケール臨界な摩擦項をもつ非線形波動方程式の解の爆発について2017
- Author(s)
  Motohiro Sobajima
- Organizer
  大阪大学微分方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-16K17619
[Presentation] 空間に依存する摩擦を伴う波動方程式に対するエネルギー評価について2017
- Author(s)
  Motohiro Sobajima
- Organizer
  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-16K17619
[Presentation] Diffusion phenomena for the wave equation with space-dependent damping term growing at infinity2017
- Author(s)
  Motohiro Sobajima, Yuta Wakasugi
- Organizer
  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-16K17619
[Presentation] Weighted energy estimates for wave equation with space-dependent damping term growing at infinity2017
- Author(s)
  Motohiro Sobajima
- Organizer
  Equadiff 2017
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17619
[Presentation] Weighted energy estimates for wave equation with space-dependent damping term for slowly decaying initial data2017
- Author(s)
  Motohiro Sobajima, Yuta Wakasugi
- Organizer
  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-16K17619
[Presentation] Blowup phenomena for semilinear wave equation with space-dependent singular damping2017
- Author(s)
  Masahiro Ikeda, Motohiro Sobajima
- Organizer
  第43回発展方程式研究会
- Data Source
  KAKENHI-PROJECT-16K17619
[Presentation] Diffusion phenomena for the wave equation with space-dependent unbounded damping term2017
- Author(s)
  Motohiro Sobajima
- Organizer
  5th Italian-Japanese Workshop "Geometric Properties for Parabolic and Elliptic PDE’s
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17619
[Presentation] Diffusion phenomena for wave equation with space-dependent damping term2017
- Author(s)
  Motohiro Sobajima
- Organizer
  Seminario (University of Salento)
- Invited
- Data Source
  KAKENHI-PROJECT-16K17619
[Presentation] Kernel estimates for semigroups generated by |x|^αΔ with lower order terms2016
- Author(s)
  Motohiro Sobajima
- Organizer
  応用解析研究会
- Place of Presentation
  早稲田大学　西早稲田キャンパス
- Invited
- Data Source
  KAKENHI-PROJECT-16K17619
[Presentation] An embedding estimate for the repulsive Hamiltonian in L^p2016
- Author(s)
  Kentarou Yoshii, Motohiro Sobajima
- Organizer
  日本数学会2016年度秋季総合分科会実函数論分科会
- Place of Presentation
  関西大学　千里山キャンパス
- Data Source
  KAKENHI-PROJECT-16K17619
[Presentation] Diffusion phenomena for the wave equation with space-dependent damping in an exterior domain2016
- Author(s)
  Motohiro Sobajima
- Organizer
  The 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications
- Place of Presentation
  フロリダ（アメリカ）
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17619
[Presentation] |x|^αΔを主要項にもつ楕円型作用素が生成する解析半群の積分核評価について2016
- Author(s)
  Motohiro Sobajima
- Organizer
  神楽坂解析セミナー
- Place of Presentation
  東京理科大学　神楽坂キャンパス
- Invited
- Data Source
  KAKENHI-PROJECT-16K17619

1. Wakasugi Yuta

# of Collaborated Projects: 1 results

# of Collaborated Products: 7 results
2. Ikeda Masahiro

# of Collaborated Projects: 1 results

# of Collaborated Products: 10 results
3. Yoshii Kentarou

# of Collaborated Projects: 1 results

# of Collaborated Products: 2 results
4. Metafune Giorgio

# of Collaborated Projects: 1 results

# of Collaborated Products: 4 results
5. Spina Chiara

# of Collaborated Projects: 1 results

# of Collaborated Products: 3 results

SOBAJIMA MOTOHIRO 側島 基宏

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Studies on the thoery of elliptic operators with unbounded coefficients and applicationsPrincipal Investigator

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Study of second order elliptic operators with unbounded coefficientsPrincipal Investigator

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[Journal Article] Singular limit problem of abstract second order evolution equations2022

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[Journal Article] Higher-order asymptotic expansion for abstract linear second-order differential equations with time-dependent coefficients2022

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[Journal Article] On global existence for semilinear wave equations with space-dependent critical damping2022

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[Journal Article] Blow-up for Strauss type wave equation with damping and potential2021

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[Journal Article] Global existence of solutions to a weakly coupled critical parabolic system in two-dimensional exterior domains2021

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[Journal Article] Remark on one dimensional semilinear damped wave equation in a critical weighted L^2-space2021

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[Journal Article] Supersolutions for parabolic equations with unbounded or degenerate diffusion coefficients and their applications to some classes of parabolic and hyperbolic equations2021

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[Journal Article] Rellich inequalities in bounded domains2020

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[Journal Article] Lifespan of solutions to nonlinear Schr\"odinger equations with general homogeneous nonlinearity of the critical order2020

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[Journal Article] Finite time blowup of solutions to semilinear wave equation in an exterior domain2020

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[Journal Article] Higher order asymptotic expansion of solutions to abstract linear hyperbolic equations2020

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[Journal Article] Sharp upper bound for lifespan of solutions to some critical semilinear parabolic, dispersive and hyperbolic equations via a test function method2019

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[Journal Article] Global existence of solutions to semilinear damped wave equation with slowly decaying inital data in exterior domain2019

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[Journal Article] Elliptic and parabolic problems for a class of operators with discontinuous coefficients2019

SOBAJIMA MOTOHIRO 側島基宏