Orbital stability of standing waves for supercritical NLS with potential on graphs
classification
🧮 math.AP
keywords
standingwavesexistencegeneralgraphpotentialstabilitysupercritical
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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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