REGULARITY FOR THE SOLUTION OF ID GENERALIZED GINZBURG-LANDAU EQUATION AND CONVERGENCE OF LINEAR AND NONLINEAR GALERKIN APPROXIMATION
一维广义Ginzburg-Landau方程解的正则性及线性与非线性Galerkin近似

In this paper, the Gevrey class regularity and analyticity with respect to time for the solution of iD generalized Ginzburg--Landau are obtained. Based on this, the convergence of linear and nonlinear Galerkin approximations is established.