Threshold even solutions to the nonlinear Schr\"{o}dinger equation with delta potential at high frequencies

Stephen Gustafson; Takahisa Inui

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arXiv · 2211.15591

Threshold even solutions to the nonlinear Schr\"{o}dinger equation with delta potential at high frequencies

Stephen Gustafson·Takahisa Inui

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Abstract

We consider the nonlinear Schr\"{o}dinger 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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Stephen Gustafson, Takahisa Inui. 2022-11-28. Threshold even solutions to the nonlinear Schr\"{o}dinger equation with delta potential at high frequencies. https://arxiv.org/abs/2211.15591

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