Exponential stability for the nonlinear Schrödinger equation with locally distributed damping
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Publication:5124553
DOI10.1080/03605302.2020.1760885zbMath1448.35462arXiv1910.00921OpenAlexW3022822915MaRDI QIDQ5124553
Rodrigo Véjar-Asem, Türker Özsarı, Mauricio Sepúlveda, Marcelo Moreira Cavalcanti, Wellington José Corrêa
Publication date: 29 September 2020
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.00921
finite volume methodstabilizationnonlinear Schrödinger equationunique continuationmonotone operator theorylocally distributed damping
Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Finite volume methods for boundary value problems involving PDEs (65N08)
Related Items
Well-posedness and stability for Schrödinger equations with infinite memory, Stabilization of the weakly coupled Schrödinger system, Exponential decay estimates for the damped defocusing Schrödinger equation in exterior domains, Optimal bilinear control of the logarithmic Schrödinger equation, Blow-up criteria for linearly damped nonlinear Schrödinger equations, Decay rate estimates for the wave equation with subcritical semilinearities and locally distributed nonlinear dissipation
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