Exponential stability for the nonlinear Schrödinger equation on a star-shaped network

2019/07/10 by Ammari, Kaïs, Bchatnia, Ahmed, Mehenaoui, Naima
#34K35 #35L05 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1907.04950

Abstract

In this paper, we prove the exponential stability of the solution of the nonlinear dissipative Schrödinger equation on a star-shaped network and where the damping is localized on one branch and at the infinity.

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