■ 現在の専門分野
数理解析学, 基礎解析学 (キーワード:関数解析、実解析、非線型偏微分方程式、非線型発展方程式、非線型シュレディンガー方程式、初期値問題、平滑化効果、漸近挙動)
|
|
■ 著書・論文歴
1.
|
論文
|
Gevrey-modulation spaces and smoothing effect for the system of nonlinear Schrödinger equations Journal of Pseudo-Differential Operators and Applications 11(2),pp.613-629 (単著) 2020/06
|
2.
|
論文
|
Space-time Gevrey smoothing effect for the dissipative nonlinear Schrödinger equations Nonlinear Differential Equations and Applications (単著) 2020/05
|
3.
|
論文
|
Dissipative nonlinear Schrödinger equations for large data in one space dimension Communications on Pure and Applied Analysis (単著) 2020/02
|
4.
|
論文
|
Global well-posedness and analytic smoothing effect for the dissipative nonlinear Schrödinger equations Journal of Dynamics and Differential Equations (単著) 2019/12
|
5.
|
論文
|
Asymptotic behavior for solutions to the dissipative nonlinear Schrödinger equations with the fractional Sobolev space Journal of Mathematical Physics 60(11) (単著) 2019/11
|
6.
|
論文
|
Scattering for solutions of a dissipative nonlinear Schrödinger equation Journal of Differential Equations (単著) 2019/01
|
7.
|
論文
|
Trilinear L-P estimates with applications to the Cauchy problem for the Hartree-type equation JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 469(1),pp.321-341 (共著) 2019/01
|
8.
|
論文
|
Gevrey-modulation spaces and smoothing effect for the nonlinear Schrödinger equations JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS 9(4),pp.763-787 (単著) 2018/12
|
9.
|
論文
|
Analyticity of solutions to a quadratic system of Schrödinger equations without mass resonance condition JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 467(1),pp.331-348 (単著) 2018/11
|
10.
|
論文
|
Space-time analytic smoothing effect for global solutions to a system of nonlinear Schrödinger equations with large data ANNALES HENRI POINCARE 19(7),pp.2101-2114 (単著) 2018/07
|
11.
|
論文
|
Analyticity of global solutions to the non-gauge invariant nonlinear Schrödinger equations RIMS Kôkyûroku Bessatsu, B70 (単著) 2018/04
|
12.
|
論文
|
Analytic smoothing effect for global solutions to a quadratic system of nonlinear Schrödinger equations NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS 24(6) (単著) 2017/12
|
13.
|
論文
|
Analytic Smoothing Effect for the Nonlinear Schrödinger Equations Without Square Integrability Journal of Fourier Analysis and Applications pp.1-20 (共著) 2017/09
|
14.
|
論文
|
Analyticity of Solutions to the Non Gauge Invariant Schrödinger Equations Funkcialaj Ekvacioj 60(1),pp.65-75 (共著) 2017
|
15.
|
論文
|
Space-time analytic smoothing effect for a system of nonlinear Schrödinger equations with non pseudo-conformally invariant interactions Communications in Partial Differential Equations 42(5),pp.802-819 (単著) 2017
|
16.
|
論文
|
Space-time analytic smoothing effect for the pseudo-conformally invariant Schrödinger equations NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS 23(1) (共著) 2016/02
|
17.
|
論文
|
Analytic smoothing effect for the cubic hyperbolic schrödinger equation in two space dimensions Electronic Journal of Differential Equations 2016 (共著) 2016/01
|
18.
|
論文
|
Analytic smoothing effect for a system of Schrödinger equations with three wave interaction JOURNAL OF MATHEMATICAL PHYSICS 56(9) (共著) 2015/09
|
19.
|
論文
|
Analytic smoothing effect for a system of schrödinger equations with two wave interaction Advances in Differential Equations 20,pp.697-716 (共著) 2015/07
|
20.
|
論文
|
Analytic smoothing effect for nonlinear Schrödinger equation with quintic nonlinearity Journal of Mathematical Analysis and Applications 419,pp.285-297 (共著) 2014/11
|
21.
|
論文
|
Analytic smoothing effect for nonlinear Schrödinger equations with quadratic interaction (Harmonic Analysis and Nonlinear Partial Differential Equations) RIMS Kokyuroku Bessatsu 49,pp.1-12 (共著) 2014/06
|
22.
|
論文
|
Analytic smoothing effect for nonlinear schrödinger equation in two space dimensions Osaka Journal of Mathematics 51,pp.609-618 (共著) 2014/01
|
23.
|
論文
|
Analytic smoothing effect for a system of nonlinear Schrödinger equations Differential Equations&Applications 5(3),pp.395-408 (共著) 2013
|
5件表示
|
全件表示(23件)
|
|
■ 所属学会
|
■ 職歴
1.
|
2017/04~2019/03
|
日本学術振興会 特別研究員PD(受入研究機関:大阪大学)
|
2.
|
2016/04~2017/03
|
早稲田大学 理工学術院 SGU数物系科学拠点 次席研究員
|
3.
|
2014/04~2016/03
|
日本学術振興会 特別研究員DC2(受入研究機関:早稲田大学)
|
4.
|
2018/04~2018/09
|
京都教育大学 教育学部 非常勤講師
|
5.
|
2016/04~2017/03
|
埼玉大学 理学部 非常勤講師
|
|
■ 学会発表
|
■ 研究課題・受託研究・科研費
|
■ 担当経験のある科目
1. |
関数解析学(東京電機大学)
|
2. |
解析学I(東京電機大学)
|
3. |
解析学II(東京電機大学)
|
4. |
解析学III(東京電機大学)
|
5. |
基礎微積分学A(東京電機大学)
|
6. |
基礎線形代数学A(東京電機大学)
|
7. |
解析概論B演習(埼玉大学)
|
8. |
微分積分学基礎I(微分積分学I)(埼玉大学)
|
9. |
小学校教科内容論算数b(京都教育大学)
|
10. |
解析学I演習(東京電機大学)
|
11. |
解析学III演習(東京電機大学)
|
12. |
基礎微積分学B(東京電機大学)
|
13. |
基礎線形代数学B(東京電機大学)
|
14. |
理学輪講A(東京電機大学)
|
15. |
理学輪講B(東京電機大学)
|
16. |
数学セミナーI(東京電機大学)
|
17. |
数学セミナーII(東京電機大学)
|
5件表示
|
全件表示(17件)
|
|