2 papers
math.AP2026
Scattering and blow-up solutions to nonlinear Schrödinger equation beyond the threshold
Masaru Hamano
In this paper, we consider nonlinear Schrödinger equation. Duyckaerts--Roudenko [Comm. Math. Phys. 334 (2015), no. 3, 1573--1615] investigated time behavior of solutions to the eq…
math.AP2024
Global solution for the stochastic nonlinear Schrödinger system with quadratic interaction in four dimensions
Masaru Hamano, Shunya Hashimoto, Shuji Machihara
We discuss the global existence of solutions to a system of stochastic Schrödinger equations with multiplicative noise. Our setting of the quadratic nonlinear terms in dimension 4…