Updated on 2024/04/30
Graduate School of Science Department of Mathematics
Professor 2022.04 - Now
School of Science Department of Mathematics
Professor 2022.04 - Now
博士（理学） （ Osaka University ）
Natural Science / Mathematical analysis / 偏微分方程式論
日本数学会
Mathematical Society of Japan
地方区代議員 日本数学会
2024.03 - 2025.02
Presidential Awards for Achievement
2015.07 Osaka University
The 6th Hukuhara Prize
2014.12 Division of Functional Equations, the Mathematical Society of Japan
Presidential Awards for Encouragement
2014.07 Osaka University
Takebe Prize
2004.09 The Mathematical Society of Japan
Osaka City University
2020.04 - 2022.03
大阪大学 理学研究科 准教授
2009.02 - 2020.03
大阪大学 理学研究科 講師
2007.04 - 2009.02
筑波大学 数理物質科学研究科 助手
2004.04 - 2007.03
Osaka University Graduate School of Science The second semester of doctoral program Graduated/Completed
- 2004.03
Upper and lower L^2-decay bounds for a class of derivative nonlinear Schrödinger equations Reviewed International coauthorship
Chunhua Li, Yoshinori Nishii, Yuji Sagawa, Hideaki Sunagawa
Discrete and Continuous Dynamical Systems 42 ( 12 ) 5893 - 5908 2022.12（ ISSN:5893-5908 ）
Large time asymptotics for a cubic nonlinear Schrodinger system in one space dimension, II Reviewed International coauthorship
Chunhua Li, Yoshinori Nishii, Yuji Sagawa, Hideaki Sunagawa
Tokyo Journal of Mathematics 44 ( 2 ) 411 - 416 2021.12
Large time asymptotics for a cubic nonlinear Schrodinger system in one space dimension Reviewed International coauthorship
Chunhua Li, Yoshinori Nishii, Yuji Sagawa, Hideaki Sunagawa
64 ( 3 ) 361 - 377 2021.12
Energy decay for small solutions to semilinear wave equations with weakly dissipative structure Reviewed
Yoshinori Nishii, Hideaki Sunagawa, Hiroki Terashita
Journal of the Mathematical Society of Japan 73 ( 3 ) 767 - 779 2021.07（ ISSN:0025-5645 ）
On the derivative nonlinear Schrodinger equation with weakly dissipative structure Reviewed International coauthorship
Li Chunhua, Nishii Yoshinori, Sagawa Yuji, Sunagawa Hideaki
JOURNAL OF EVOLUTION EQUATIONS 21 ( 2 ) 1541 - 1550 2021.06（ ISSN:1424-3199 ）
On Agemi-type structural conditions for a system of semilinear wave equations Reviewed
Yoshinori Nishii, Hideaki Sunagawa
Journal of Hyperbolic Differential Equations 17 ( 3 ) 459 - 473 2020.09
Small data global existence for a class of quadratic derivative nonlinear Schrödinger systems in two space dimensions Reviewed
Daisuke Sakoda, Hideaki Sunagawa
Journal of Differential Equations 268 ( 4, 5 ) 1722 - 1749 2020.02
Remarks on derivative nonlinear Schrodinger systems with multiple masses Invited Reviewed International coauthorship
Chunhua Li, Hideaki Sunagawa
Advanced Studies in Pure Mathematics 81 173 - 195 2019.10
A sharp lower bound for the lifespan of small solutions to the Schrodinger equation with a subcritical power nonlinearity Reviewed
Yuji Sagawa, Hideaki Sunagawa, Shunsuke Yasuda
Differential and Integral Equations 31 ( 9,10 ) 685 - 700 2018.09
The lifespan of small solutions to cubic derivative nonlinear Schrödinger equations in one space dimension Reviewed
Yuji Sagawa, Hideaki Sunagawa
Discrete and Continuous Dynamical Systems, Series A 36 ( 10 ) 5743 - 5761 2016.10
On Schrödinger systems with cubic dissipative nonlinearities of derivative type Reviewed International coauthorship
Chunhua Li, Hideaki Sunagawa
Nonlinearity 29 ( 5 ) 1537 - 1563 2016.05
Energy decay for systems of semilinear wave equations with dissipative structure in two space dimensions Reviewed
Soichiro Katayama, Akitaka Matsumura, Hideaki Sunagawa
NoDEA Nonlinear Differential Equations and Applications 22 ( 4 ) 601 - 628 2015.08
Semilinear hyperbolic systems violating the null condition Reviewed
Soichiro Katayama, Toshiaki Matoba, Hideaki Sunagawa
Mathematische Annalen 361 ( 1-2 ) 275 - 312 2015.02
Null structure in a system of quadratic derivative nonlinear Schrödinger equations Reviewed
Masahiro Ikeda, Soichiro Katayama, Hideaki Sunagawa
Annales Henri Poincaré. A Journal of Theoretical and Mathematical Physics 16 ( 2 ) 535 - 567 2015.02
A remark on decay rates of solutions for a system of quadratic nonlinear Schrödinger equations in 2D Reviewed International coauthorship
Soichiro Katayama, Chunhua Li, Hideaki Sunagawa
Differential and Integral Equations 27 ( 3-4 ) 301 - 312 2014.04
Remarks on decay of small solutions to systems of Klein-Gordon equations with dissipative nonlinearities Reviewed
Donghyun Kim, Hideaki Sunagawa
Nonlinear Analysis 97 94 - 105 2014.03
Small data blow-up for a system of nonlinear Schrödinger equations Reviewed
Tohru Ozawa, Hideaki Sunagawa
J. Math. Anal. Appl. 399 ( 1 ) 147 - 155 2013.03
The energy decay and asymptotics for a class of semilinear wave equations in two space dimensions Reviewed
Soichiro Katayama, Daisuke Murotani, Hideaki Sunagawa
JOURNAL OF EVOLUTION EQUATIONS 12 ( 4 ) 891 - 916 2012.12（ ISSN:1424-3199 ）
A note on the null condition for quadratic nonlinear Klein-Gordon systems in two space dimensions Reviewed
Soichiro Katayama, Tohru Ozawa, Hideaki Sunagawa
Communications on Pure and Applied Mathematics 65 ( 9 ) 1285 - 1302 2012.09
A remark on the algebraic normal form method applied to the Dirac-Klein-Gordon system in two space dimensions Reviewed
Masahiro Ikeda, Akihiro Shimomura, Hideaki Sunagawa
RIMS Kokyuroku Bessatsu B33 87 - 96 2012.07
Global small amplitude solutions for two-dimensional nonlinear Klein-Gordon systems in the presence of mass resonance Reviewed
Yuichiro Kawahara, Hideaki Sunagawa
Journal of Differential Equations 251 ( 9 ) 2549 - 2567 2011.11
The lifespan of solutions to nonlinear Schrödinger and Klein-Gordon equations Reviewed
Hideaki Sunagawa
Hokkaido Math. J. 37 ( 4 ) 825 - 838 2008.11
On the Schrödinger equation with dissipative nonlinearities of derivative type Reviewed International coauthorship
Nakao Hayashi, Pavel I. Naumkin, Hideaki Sunagawa
SIAM J. Math. Anal. 40 ( 1 ) 278 - 291 2008.04
Lower bounds of the lifespan of small data solutions to the nonlinear Schrödinger equations Reviewed
Hideaki Sunagawa
Osaka J. Math. 43 ( 4 ) 771 - 789 2006.12
Remarks on global behavior of solutions to nonlinear Schroedinger equations Reviewed
Yuichiro Kawahara, Hideaki Sunagawa
Proc. Japan Acad. Ser. A 82 ( 8 ) 117 - 122 2006.10
Large time behavior of solutions to semilinear systems of wave equations Reviewed
Hideo Kubo, Koji Kubota, Hideaki Sunagawa
Math. Ann. 335 ( 2 ) 435 - 478 2006.04
Large time behavior of solutions to the Klein-Gordon equation with nonlinear dissipative terms Reviewed
Hideaki Sunagawa
J. Math. Soc. Japan 58 ( 2 ) 379 - 400 2006.04
Remarks on the asymptotic behavior of the cubic nonlinear Klein-Gordon equations in one space dimension Reviewed
Hideaki Sunagawa
Differential and Integral Equations 18 ( 5 ) 481 - 494 2005.05
Large time asymptotics of solutions to nonlinear Klein-Gordon systems Reviewed
Hideaki Sunagawa
Osaka J. Math. 42 ( 1 ) 65 - 83 2005.04
A note on the large time asymptotics for a system of Klein-Gordon equations Reviewed
Hideaki Sunagawa
Hokkaido Math. J. 33 ( 2 ) 457 - 472 2004.06
On global small amplitude solutions to systems of cubic nonlinear Klein-Gordon equations with different mass terms in one space dimension Reviewed
Hideaki Sunagawa
Journal of Differential Equations 192 ( 2 ) 308 - 325 2003.08
磯崎 洋, 筧 知之, 木下 保, 籠屋 恵嗣, 砂川 秀明, 竹山 美宏（ Role： Joint author）
培風館 2008 （ ISBN:9784563003791 ）
非線形Schrödinger方程式の解のlifespanと零構造の関わり
砂川 秀明
数理解析研究所講究録 2093 104 - 115 2018.11
砂川 秀明
数理解析研究所講究録 1558 126 - 136 2007.05
質量項が異なるKlein-Gordon方程式系のエネルギー増幅現象と解の爆発
砂川 秀明
数理解析研究所講究録 1411 15 - 24 2005.01
高周波漸近解析に基づいた非線形偏微分方程式の研究
Grant-in-Aid for Scientific Research(C) 2021.04
高周波漸近解析に基づいた非線形偏微分方程式の研究
Grant-in-Aid for Scientific Research(C) 2021.04
高周波漸近解析に基づいた非線形偏微分方程式の研究
Grant-in-Aid for Scientific Research(C) 2021.04
非線形双曲型・分散型方程式の零構造と高周波漸近解析
Grant-in-Aid for Scientific Research(C) 2017.04
高周波漸近解析による非線形偏微分方程式の研究
Grant-in-Aid for Scientific Research(C) 2013.04
非線形双曲型および分散型方程式の高周波漸近解析
Grant-in-Aid for Young Scientists(B) 2010.04
非線型双曲型および分散型方程式に対する零条件の研究
Grant-in-Aid for Young Scientists(B) 2006.04
解析学特論C
2023 Weekly class Graduate school
解析学講義Ⅲ
2023 Weekly class Undergraduate
解析学Ⅳ演習
2023 Weekly class Undergraduate
解析学Ⅳ
2023 Weekly class Undergraduate
偏微分方程式
2022 Weekly class Undergraduate
応用数学Ａ
2022 Weekly class Undergraduate
基礎数学A
2022 Weekly class Undergraduate
解析学IV演習
2022 Weekly class Undergraduate
解析学IV
2022 Weekly class Undergraduate
解析学IV演習
2021 Undergraduate
解析学IV
2021 Undergraduate
応用数学B
2021 Undergraduate
解析Ⅲ
2021 Undergraduate
偏微分方程式
2021 Undergraduate
解析Ⅲ
2020 Undergraduate
数理科学C
2020 Graduate school
応用数学B
2020 Undergraduate
偏微分方程式
2020 Undergraduate
Job title within the department
Graduate School of Science Department of Mathematics
専攻長 2023.04 - 2024.03
Job title within the department
School of Science Department of Mathematics
学科長 2023.04 - 2024.03