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Asymptotic behaviour of the solutions for a weakly damped anisotropic sixth-order Schrödinger type equation in \mathbb{R}^2

Brahim Alouini, ,University of Monastir, Faculty of Sciences, Research Laboratory: Analysis, Probability and Fractals, The Environment Avenue, 5019 Monastir, Tunisia
2021 Discrete and continuous dynamical systems. Series B  

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We study the long-time behaviour of the solutions to a nonlinear damped anisotropic sixth-order Schrödinger type equation in R 2 that reads We prove that this behaviour is described by the existence of regular global attractor in an anisotropic Sobolev space with finite fractal dimension.
doi:10.3934/dcdsb.2021032 fatcat:bdi5krqpsrbslfjsng77sotsie
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Brahim Alouini, ,University of Monastir, Faculty of Sciences, Research Laboratory: Analysis, Probability and Fractals, The Environment Avenue, 5019 Monastir, Tunisia. "Asymptotic behaviour of the solutions for a weakly damped anisotropic sixth-order Schrödinger type equation in \mathbb{R}^2." Discrete and continuous dynamical systems. Series B 27.1 (2021) 0-0