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arXiv · 1810.05344

Orbital stability of standing waves for supercritical NLS with potential on graphs

Alex H. Ardila
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Abstract

In this paper we study the existence and stability of normalized standing waves for the nonlinear Schr\"odinger equation on a general starlike graph with potentials. Under general assumptions on the graph and the potential, we show the existence of orbitally stable standing waves when the nonlinearity is $L^{2}$-critical and supercritical.

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Alex H. Ardila. 2018-10-12. Orbital stability of standing waves for supercritical NLS with potential on graphs. https://doi.org/10.1080/00036811.2018.1530763

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