出版論文、プレプリント

※ 論文の原稿が完成した順番（降順）です。基本的にはarXivへの投稿順になっています。

1. Uniqueness of solutions for the logarithmic Schrödinger equation
   preprint  [arXiv:2503.20531]

2. (with T. Ozawa and N. Visciglia)
   Global H^2-solutions for the generalized derivative NLS on the torus
   SIAM J. Math. Anal. 57 (2025), no. 2, 1483–1501. [arXiv:2406.06229]

3. (with R. Carles and T. Ozawa)
   Low regularity solutions to the logarithmic Schrödinger equation
   Pure and Appl. Anal. 6 (2024), no. 3, 859–871. [arXiv:2311.01801]

4. (with T. Ozawa)
   The Cauchy problem for the logarithmic Schrödinger equation revisited
   Ann. Henri Poincaré 26 (2025), no. 4, 1209–1238. [arXiv:2309.01695]

5. (with N. Fukaya)
   Instability of stationary solutions for double power nonlinear Schrödinger equations in one dimension
   Partial Differ. Equ. Appl. 6 (2025), no. 1, Paper No. 1, 23 pp. [arXiv:2304.14337]

6. (with N. Fukaya and T. Inui)
   Traveling waves for a nonlinear Schrödinger system with quadratic interaction
   Math. Ann. 388 (2024), no. 2, 1357–1378. [arXiv:2209.05305]

7. (with N. Fukaya)
   Instability of degenerate solitons for nonlinear Schrödinger equations with derivative
   Nonlinear Anal. 222 (2022), Paper No. 112954, 25 pp. [arXiv:2102.13014]

8. Stability of algebraic solitons for nonlinear Schrödinger equations of derivative type: variational approach
   Ann. Henri Poincaré 23 (2022), no. 12, 4249–4277. [arXiv:2011.08029]

9. (with N. Fukaya)
   Instability of algebraic standing waves for nonlinear Schrödinger equations with double power nonlinearities
   Trans. Amer. Math. Soc. 374 (2021), no. 2, 1421–1447. [arXiv:2001.08488]

10. Potential well theory for the derivative nonlinear Schrödinger equation
    Anal. PDE 14 (2021), no. 3, 909–944. [arXiv:2011.08066]

11. Long-period limit of exact periodic traveling wave solutions for the derivative nonlinear Schrödinger equation
    Ann. Inst. H. Poincaré C Anal. Non Linéaire 36 (2019), no. 5, 1331–1360. [arXiv:1803.03774]

12. A note on the nonlinear Schrödinger equation in a general domain
    Nonlinear Anal. 173 (2018), 99–122. [arXiv:1712.10239]

13. (with N. Fukaya and T. Inui)
    A sufficient condition for global existence of solutions to a generalized derivative nonlinear Schrödinger equation
    Anal. PDE 10 (2017), no. 5, 1149–1167. [arXiv:1610.00267]

14. (with T. Ozawa)
    On Landau-Kolmogorov inequalities for dissipative operators
    Proc. Amer. Math. Soc. 145 (2017), no. 2, 847–852.

15. (with T. Ozawa)
    Well-posedness for a generalized derivative nonlinear Schrödinger equation
    J. Differential Equations 261 (2016), no. 10, 5424–5445. [arXiv:1601.04167]

MISC

1. Local well-posedness for the derivative nonlinear Schrödinger equation (in Japanese)
   第37回発展方程式若手セミナー報告集, 158–166, 2015.

2. Sharp thresholds for stability and instability of standing waves in a double power nonlinear Schrödinger equation
   unpublished note [arXiv:2112.07540]

学位論文

• Master thesis (in English)
  Well-posedness for a generalized derivative nonlinear Schrödinger equation, 2016.

• PhD thesis (in English)
  Studies on nonlinear Schrödinger equations with derivative coupling, 2019. [thesis link]
  主査：小澤徹教授、副査：大谷光春教授、小薗英雄教授、田中和永教授