Threshold even solutions to the nonlinear Schrödinger equation with delta potential at high frequencies

2022/11/28 by Gustafson, Stephen, Inui, Takahisa
#35Q55 #37K40 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2211.15591

Abstract

We consider the nonlinear Schrödinger equation with a repulsive Dirac delta potential in one dimensional Euclidean space. We classify the global dynamics of even solutions with the same action as the high-frequency ground state standing wave solutions.

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