学生向け情報

私の専門は「確率非線形分散型方程式」ですが、実際の指導内容は学生の希望に合わせて柔軟に対応します。

「確率非線形分散型方程式」について理学部通信250号（2026.4　入学号）の表紙記事を書きました。
私の研究論文は MathSciNet（学内限定）で見ることができます。代表的な論文を挙げておきます。
- (with H. Hirayama, S. Kinoshita) MR4915005 "Well-posedness and ill-posedness for a system of periodic quadratic derivative nonlinear Schr\"odinger equations," Pure Appl. Anal. 7 (2025), no. 2, 359--412.
- (with T. Oh, L. Tolomeo) MR4867559 "Stochastic quantization of the Φ³₃-model," Mem. Eur. Math. Soc. 16, EMS Press, Berlin, 2025. viii+145 pp.
- (with T. Oh, L. Tolomeo) MR4850409 "Focusing Φ⁴₃-model with a Hartree-type nonlinearity," Mem. Amer. Math. Soc. 304 (2024), no. 1529, vi+143 pp.

指導学生の研究論文

"Well- and ill-posedness of the Cauchy problem for semi-linear Schr\"odinger equations on the torus," to appear in Funkcial. Ekvac. arXiv:2501.04205
"A remark on well-posedness for a nonlinear Schr\"odinger equation with derivative quadratic nonlinearity," to appear in ASPM.
MR4878323, "Norm inflation for a higher-order nonlinear Schr\"odinger equation with a derivative on the circle," Partial Differ. Equ. Appl. 6 (2025), no. 2, Paper No. 11, 14 pp.
MR5014353, "Well-posedness for a nonlinear Schr\"odinger equation with quadratic derivative nonlinearities for bounded primitive initial data," Funkcial. Ekvac. 68 (2025), no. 2, 187--240.