复Ginzburg-Landau方程弱解的唯一性  

The Uniqueness of the Weak Solutions for the Complex Ginzburg-Landau Equation

作　　者：李坤[1] 

机构地区：[1]河南机电高等专科学校基础部,河南新乡453003

出　　处：《河南师范大学学报（自然科学版）》2013年第6期34-37,共4页Journal of Henan Normal University(Natural Science Edition)

基　　金：河南省教育厅自然科学研究计划项目(12A1200005)

摘　　要：证明了n维欧式空间中复Ginzburg-Landau方程ut-(λ+iα)Δu+(κ+iβ)|u|p-2 u-γu=0在光滑有界区域Ω上弱解的唯一性,其中,i=(-1)^(1/2),λ,κ,γ>0,α,β∈R.用先验估计的方法将2维空间中唯一性结果推广到了任意维空间上,只限制指数2<p<2+4n,而对各项系数不做任何限制.In this paper, we are concerned with the uniqueness of the weak solutions for the complex Ginzburg-Landau e-quation ut-（λ＋ia）△u＋（k＋iβ）│u│^p-2u-γu=0 in a smooth and bounded domain Ω where i=√-1,λ〉0,α,β∈R Bythe method of a priori estimates, we extend the result in two-dimensional space to the n-dimensional case. Furthermore, in this paper, we need only theassumption 2〈p〈2＋4/n,without restrictions on the coeffieients of the equation.

关 键 词：唯一性 复Ginzburg—Landau方程 不等式 

分 类 号：O175.29[理学—数学]