Solvability of a class of complex Ginzburg-Landau equations in periodic Sobolev spaces

DOI10.3934/proc.2015.0754zbMath1381.35167OpenAlexW2334945033MaRDI QIDQ260893

Yuta Kugo, Kentarou Yoshii, Motohiro Sobajima, Toshiyuki Suzuki, Tomomi Yokota

Publication date: 22 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/proc.2015.0754

zbMATH Keywords

global existencecomplex Ginzburg-Landau equationsspatially periodic solutions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Periodic solutions to PDEs (35B10) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Ginzburg-Landau equations (35Q56)

Cites Work

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• Inviscid limit for the energy-critical complex Ginzburg-Landau equation
• Subdifferential operator approach to strong wellposedness of the complex Ginzburg-Landau equation
• Functional analysis, Sobolev spaces and partial differential equations
• Semigroups of linear operators and applications to partial differential equations
• On the \(L_ p\)-spectrum of Schrödinger operators
• Uniqueness and inviscid limits of solutions for the complex Ginzburg-Landau equation in a two-dimensional domain
• Global existence and smoothing effect for the complex Ginzburg-Landau equation with \(p\)-Laplacian
• The Cauchy problem in local spaces for the complex Ginzburg-Landau equation. I: Compactness methods
• On the global existence and small dispersion limit for a class of complex Ginzburg-Landau equations

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