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Global existence theory for the two-dimensional derivative Ginzburg-Landau equation
Authors:Zhenchao Cao  Boling Guo  Bixiang Wang
Institution:(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 inH 1-norm andH 2-norm.
Keywords:Ginzburg-Landau equation  global existence
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