复Ginzburg-Landau方程弱解的唯一性

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

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

In this paper,we are concerned with the uniqueness of the weak solutions for the complex Ginzburg-Landau equation ut-(λ+iα)Δu+(κ+iβ)|u|p-2 u-γu=0in a smooth and bounded domainΩ,where 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(1/2),λ,κ,γ>0,α,β∈R.By the 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