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arXiv · 2202.11640

Mass-energy threshold dynamics for the focusing NLS with a repulsive inverse-power potential

Alex H. Ardila·Masaru Hamano·Masahiro Ikeda
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Abstract

In this paper we study long time dynamics (i.e., scattering and blow-up) of solutions for the focusing NLS with a repulsive inverse-power potential and with initial data lying exactly at the mass-energy threshold, namely, when $E_{V}(u_{0})M(u_{0})=E_{0}(Q)M(Q)$. Moreover, we prove failure of the uniform space-time bounds at the mass-energy threshold.

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Alex H. Ardila, Masaru Hamano, Masahiro Ikeda. 2022-02-23. Mass-energy threshold dynamics for the focusing NLS with a repulsive inverse-power potential. https://arxiv.org/abs/2202.11640

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