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LOCAL AND GLOBAL EXISTENCE OF SOLUTIONS OF THE GINZBURG-LANDAU TYPE EQUATIONS

Zhou Fujun[1] Cui Shangbin[2]

[1]School of Mathematical Sciences, South China University of Technology, Guangzhou 510640, China [2]Institute of Mathematics, Sun Yat-sen Un:lversity, Guangzhou 510275, China

偏微分方程:英文版
国际标准刊号:ISSN 1000-940X
国内统一刊号:CN 41-1104
Journal of Partial Differential Equations

分 类 号:

O175.29

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LOCAL AND GLOBAL EXISTENCE OF SOLUTIONS OF THE GINZBURG-LANDAU TYPE EQUATIONS

Zhou Fujun, Cui Shangbin(1.School of Mathematical Sciences, South China University of Technology, Guangzhou 510640, China;2.Institute of Mathematics, Sun Yat-sen University, Guangzhou 510275, China)

Abstract:

This paper is devoted to studying the initial value problem of the Ginzburg-Landau type equations. We treat the case where the nonlinear interaction function is a general continuous function, not required to satisfy any smoothness conditions. Local and global existence results of solutions of the problem are given. Decay estimates are also shown.[著者文摘]

Key words:

Ginzburg-Landau type equations; initial value problem; local existence; global existence.

收稿日期: 2006-03-21
修订日期: 2007-02-26

基金资助:

This work is supported by the China National Science Foundation (No. 10471157).

作者简介:

Zhou Fujun:E-mail: zhoufuj unht @yahoo.com.cn Cui Shangbin:E-mail: cuisb3@yahoo.com.cn

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