Finite dimensional global attractor for a fractional nonlinear Schrödinger equation

DOI10.1007/s00030-017-0482-6zbMath1382.35266OpenAlexW2752297915MaRDI QIDQ1688741

Ezzeddine Zahrouni, Olivier Goubet

Publication date: 11 January 2018

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-017-0482-6

zbMATH Keywords

global attractorfractal dimensionnonlinear fractional Schrödinger equations

Mathematics Subject Classification ID

Attractors (35B41) NLS equations (nonlinear Schrödinger equations) (35Q55) Fractional partial differential equations (35R11)

Related Items (13)

Finite dimensional global attractor for a class of two-coupled nonlinear fractional Schrödinger equations ⋮ Long-time behavior of solutions for a system of \(N\)-coupled nonlinear dissipative half-wave equations ⋮ Robust exponential attractors for a parabolic-hyperbolic phase-field system ⋮ Finite dimensional global attractor for a fractional Schrödinger type equation with mixed anisotropic dispersion ⋮ Finite dimensional global attractor for a damped fractional anisotropic Schrödinger type equation with harmonic potential ⋮ Averaging principle for multiscale stochastic fractional Schrödinger equation ⋮ Long-time behavior for evolution processes associated with non-autonomous nonlinear Schrödinger equation ⋮ Regularity of the attractor for a fractional Klein‐Gordon‐Schrödinger system with cubic nonlinearities ⋮ Finite dimensionality of the global attractor for a fractional Schrödinger equation on \(\mathbb{R}\) ⋮ Unnamed Item ⋮ Global attractor for a one dimensional weakly damped half-wave equation ⋮ Asymptotic dynamics of the solutions for a system of N-coupled fractional nonlinear Schrödinger equations ⋮ Nonlinear smoothing for the periodic generalized nonlinear Schrödinger equation

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