On global attractors for 2D damped driven nonlinear Schrödinger equations

2020/08/06 by Alexander Komech, Elena Kopylova, Komech, A. +1
Mathematics · Engineering · Physics and Astronomy · #Advanced Mathematical Physics Problems #Stability and Controllability of Differential Equations #Nonlinear Photonic Systems

paper · pdf · doi:10.48550/arxiv.2008.02741

Abstract

Well-posedness and global attractor are established for 2D damped driven nonlinear Schrödinger equation with almost periodic pumping in a bounded region. The key role is played by a novel application of the energy equation.

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