Research theme for competitive and other funds (7)：
2022 - 2027 Global analysis for nonlinear dispersive equations
2020 - 2025 分散性を持つ非線形波動における共鳴相互作用の役割の究明
2016 - 2023 非線形分散型波動方程式における共鳴相互作用の構造と解の挙動・特異性の研究
2017 - 2022 Analysis of concentration phenomena for nonlinear wave and dispersive equations
2012 - 2016 Existence and global behavior of spatially periodic solutions to the initial value problems for nonlinear dispersive equations
2011 - 2016 Concentration Phenomena and Structure of Solution for Nonlinear Evolution Equations
2011 - 2013 周期境界条件下における非線形分散型偏微分方程式の初期値問題の適切性
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Papers (40)：
Nobu Kishimoto, Yoshio Tsutsumi. Local well-posedness for the kinetic derivative nonlinear Schrödinger equation on the real line. Advanced Studies in Pure Mathematics (to appear). 2024
Nobu Kishimoto, Yoshio Tsutsumi. Gauge transformation for the kinetic derivative nonlinear Schrödinger equation on the torus. preprint. 2023
Nobu Kishimoto, Yoshio Tsutsumi. Well-posedness of the Cauchy problem for the kinetic DNLS on T. Journal of Hyperbolic Differential Equations. 2023. 20. 01. 27-75
Nobu Kishimoto, Yoshio Tsutsumi. Low regularity a priori estimate for KDNLS via the short-time Fourier restriction method. Advances in Continuous and Discrete Models. 2023. 2023. 1. 10
Nobu Kishimoto. Unconditional uniqueness for the periodic Benjamin-Ono equation by normal form approach. Journal of Mathematical Analysis and Applications. 2022. 514. 2. 126309
Nobu Kishimoto. Analysis on nonlinear Schrödinger equations with higher order terms (in Japanese). 2018. 98-107
Nobu Kishimoto, Yoshio Tsutsumi. Ill-posedness of the Cauchy problem for the nonlinear Schrödinger equation with Raman scattering term. RIMS Kôkyûroku. 2018. 2076. 203-210
Nobu Kishimoto. Remark on global regularity for the rotating Navier-Stokes equations in a periodic domain. RIMS Kôkyûroku. 2018. 2070. 1-16
N. Kishimoto. Local and global well-posedness for the KdV equation at the critical regularity (Nonlinear evolution equations and mathematical modeling). RIMS Kôkyûroku. 2010. 1693. 68-84
Lectures and oral presentations (98)：
Characterization of three-dimensional Euler flows supported on finitely many Fourier modes
(Analysis of PDEs in Fluid 2024)
On unconditional uniqueness for the derivative NLS
(3rd Harmonic Analysis Workshop in Seoul 2023)
On well-posedness for the kinetic derivative NLS
(One-day seminar series at Ewha Womans University 2023)
Unconditional uniqueness for the derivative nonlinear Schrödinger equation
(International Workshop on "Fundamental Problems in Mathematical and Theoretical Physics" 2023)
Local well-posedness for the kinetic derivative nonlinear Schrödinger equation on the real line
(14th ISAAC Congress, Session: Function Spaces and their Applications to Nonlinear Evolutional Equations 2023)
