(1) Institute of Mathematics, Xiamen University, 361005 Xiamen, China;(2) Institute of Applied Physics and Computational Mathematics, 100088 Beijing, China
Abstract:
The generalized derivative Ginzburg-Landau equation in two spatial dimensions is discussed. The existence and uniqueness of
global solution arc obtained by Galerkin method and bya priori estimates on the solution inH1-norm andH2-norm.