2 papers
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…
math.AP2023
Scattering and blow-up dichotomy of the energy-critical nonlinear Schrödinger equation with the inverse-square potential
Masaru Hamano, Masahiro Ikeda
In this paper, we consider the energy critical nonlinear Schrödinger equation with a repulsive inverse square potential. In particular, we deal with radial initial data, whose ener…