A simple approach to the Cauchy problem for complex Ginzburg-Landau equations by compactness methods

DOI10.1016/J.JDE.2012.05.002zbMath1248.35203OpenAlexW2080690231MaRDI QIDQ436289

Noboru Okazawa, Tomomi Yokota, Motohiro Sobajima, Philippe Clément

Publication date: 20 July 2012

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2012.05.002

zbMATH Keywords

Cauchy problemscomplex Ginzburg-Landau equationssubdifferential operatorscompactness methods

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Ginzburg-Landau equations (35Q56) Strong solutions to PDEs (35D35)

Related Items (12)

Global existence of a nonlinear Schrödinger equation with viscous damping ⋮ Well-posedness and stability for Schrödinger equations with infinite memory ⋮ Nonhomogeneous boundary value problems for the complex Ginzburg–Landau equation posed on a finite interval ⋮ Existence and decay estimates of solutions to complex Ginzburg-Landau type equations ⋮ Complex Ginzburg-Landau equations with dynamic boundary conditions ⋮ Pullback attractor for nonautonomous Ginzburg-Landau equation with additive noise ⋮ Pullback attractors for the non-autonomous quasi-linear complex Ginzburg-Landau equation with \(p\)-Laplacian ⋮ Operator theory in the complex Ginzburg-Landau equation ⋮ Dynamics for the complex Ginzburg-Landau equation on non-cylindrical domains I: The diffeomorphism case ⋮ Well-posedness and energy decay estimates in the Cauchy problem for the damped defocusing Schrödinger equation ⋮ Pullback attractors for the non-autonomous complex Ginzburg–Landau type equation with p-Laplacian ⋮ Global attractors for the complex Ginzburg-Landau equation

Cites Work

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