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
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).

更多评论>>文章评论
学术















cqvip.com