Orbital stability of standing waves for supercritical NLS with potential on graphs (1810.05344v1)

Published 12 Oct 2018 in math.AP

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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Authors (1)

Alex H. Ardila

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