Monotonicity method applied to complex Ginzburg-Landau type equations
type: Item
instance of: scholarly article
title: Monotonicity method applied to complex Ginzburg-Landau type equations
zbMATH Open document ID: 1219.35296
author: Tomomi Yokota
published in: Journal of Mathematical Analysis and Applications
publication date: 2011-05-16T00:00:00Z
review text: The authors study the monotonicity method applied to complex Ginzburg-Landau(CGL) type equations. Authors first provide abstract theorems which are applicable to \((CGL)_{qr}\). The technique and results are similar to those in N. Okazawa, T. Yokota [2002]. Authors use modified inequalities and propose their results are useful to the problem with p-Laplacian (which is no longer semi-linear).
reviewed by: Seenith Sivasundaram
Mathematics Subject Classification ID: 35Q56
zbMATH DE Number: 5888535
zbMATH Keywords: complex Ginzburg-Landau type equations
zbMATH Keywords: subdifferential operators
MaRDI profile type: Publication
full work available at URL: j.jmaa.2011.04.001
OpenAlex ID: W2067415108
cites work: Pattern formation outside of equilibrium
cites work: Self-focusing in the damped nonlinear Schrödinger equation
cites work: The Cauchy problem in local spaces for the complex Ginzburg-Landau equation. I: Compactness methods
cites work: The Cauchy problem in local spaces for the complex Ginzburg-Landau equation. II: Contraction methods
cites work: On the Kneser property for the complex Ginzburg-Landau equation and the Lotka-Volterra system with diffusion
cites work: Semigroups of locally Lipschitz operators associated with semilinear evolution equations
cites work: Q4863709
cites work: Analyticity of Submarkovian Semigroups
cites work: The inviscid limit for the complex Ginzburg--Landau equation
cites work: Semigroups of locally Lipschitz operators associated with semilinear evolution equations of parabolic type
cites work: Remarks on global existence and blowup for damped nonlinear Schrödinger equations
cites work: Uniqueness and inviscid limits of solutions for the complex Ginzburg-Landau equation in a two-dimensional domain
cites work: Sectorialness of Second Order Elliptic Operators in Divergence Form
cites work: Monotonicity method applied to the complex Ginzburg-Landau and related equations
cites work: Global existence and smoothing effect for the complex Ginzburg-Landau equation with \(p\)-Laplacian
cites work: Subdifferential operator approach to strong wellposedness of the complex Ginzburg-Landau equation
cites work: Linear versus nonlinear dissipation for critical NLS equation
cites work: Q4332942
cites work: Infinite-dimensional dynamical systems in mechanics and physics.
DOI: 10.1016/J.JMAA.2011.04.001
description: scientific article; zbMATH DE number 5888535