Papers and Preprints (ordered basically by arXiv numbers)

1. (with T. Ozawa and N. Visciglia)
   Global H^2-solutions for the generalized derivative NLS on T
   preprint [arXiv:2406.06229]

2. (with R. Carles and T. Ozawa)
   Low regularity solutions to the logarithmic Schrödinger equation
   To appear in Pure Appl. Anal. [arXiv:2311.01801]

3. (with T. Ozawa)
   The Cauchy problem for the logarithmic Schrödinger equation revisited
   Ann. Henri Poincaré (2024), online first. [article link] [arXiv:2309.01695]

4. (with N. Fukaya)
   Instability of stationary solutions for double power nonlinear Schrödinger equations in one dimension
   preprint [arXiv:2304.14337]

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

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

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

8. (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. [article link] [arXiv:2001.08488]

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

10. 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. [article link] [arXiv:1803.03774]

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

12. (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. [article link] [arXiv:1610.00267]

13. (with T. Ozawa)
    On Landau-Kolmogorov inequalities for dissipative operators
    Proc. Amer. Math. Soc. 145 (2017), no. 2, 847-852. [article link]

14. (with T. Ozawa)
    Well-posedness for a generalized derivative nonlinear Schrödinger equation
    J. Differential Equations 261 (2016), no. 10, 5424-5445. [article link] [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]

Thesis

• 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

Talks

　A complete talk list is availavle in Researchmap.