Masayuki Hayashi

collaborators

2 papers

math.AP2025

Uniqueness of solutions for the logarithmic SchrÃ¶dinger equation

Masayuki Hayashi

We consider the Cauchy problem for the logarithmic SchrÃ¶dinger equation and prove uniqueness of weak $H^{s} (R^{d})$ solutions for $s \in (0, 1)$ , which improves on the previous…

math.AP2024

Global $H^{2}$ -solutions for the generalized derivative NLS on $T$

Masayuki Hayashi, Tohru Ozawa, Nicola Visciglia

We prove global existence of $H^{2}$ solutions to the Cauchy problem for the generalized derivative nonlinear SchrÃ¶dinger equation on the 1-d torus. This answers an open problem pos…

Uniqueness of solutions for the logarithmic SchrÃ¶dinger equation

Global H2-solutions for the generalized derivative NLS on T

Global $H^{2}$ -solutions for the generalized derivative NLS on $T$