On the initial-value problem for the generalized two-dimensional Ginzburg-Landau equation
type: Item
instance of: scholarly article
title: On the initial-value problem for the generalized two-dimensional Ginzburg-Landau equation
zbMATH Open document ID: 0890.35137
published in: Journal of Mathematical Analysis and Applications
publication date: 1998-06-11T00:00:00Z
review text: The authors study global existence of solutions to the initial-value problem for the generalized two-dimensional Ginzburg-Landau equation by some delicate estimates. The investigated equation is more general than in other related papers. They extend the lower bound of the exponent for the nonlinear term to the case \(\sigma \geq (1+\sqrt{10})/2\) which is better than in related papers.
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35K55
zbMATH DE Number: 1115586
zbMATH Keywords: global existence of the initial-value problem for the generalized two-dimensional Ginzburg-Landau equation
zbMATH Keywords: estimates
zbMATH Keywords: nonlinear term
author: Hongjun Gao
author: Jinqiao Duan
reviewed by: Boling Guo
MaRDI profile type: Publication
full work available at URL: jmaa.1997.5682
OpenAlex ID: W2001790187
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DOI: 10.1006/JMAA.1997.5682
description: scientific article; zbMATH DE number 1115586