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

DOI10.1007/S00033-020-01458-7zbMath1470.35047arXiv1907.04950OpenAlexW3123060471WikidataQ115609378 ScholiaQ115609378MaRDI QIDQ2026464

Ahmed Bchatnia, Naima Mehenaoui, Kaïs Ammari

Publication date: 19 May 2021

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.04950

zbMATH Keywords

global well-posednesspower-type nonlinearitydissipative Schrödinger equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Control problems for functional-differential equations (34K35) Initial-boundary value problems for systems of nonlinear higher-order PDEs (35G61) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items (3)

Exact boundary controllability of the linear biharmonic Schrödinger equation with variable coefficients ⋮ Positive and negative exact controllability results for the linear biharmonic Schrödinger equation ⋮ On the existence of a solution of a boundary value problem on a graph for a nonlinear equation of the fourth order

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