Large time behavior of solutions for critical and subcritical complex Ginzburg-Landau equations in H-1

Considering the Cauchy problem for the critical complex Ginzburg-Landau equation in H-1(R-n), we shall show the asymptotic behavior for its solutions in C(0, infinity; H-1(R-n)) boolean AND L-2(0, infinity; H-1,H-2n/(n-2)(R-n)), n greater than or equal to 3. Analogous results also hold in the case that the nonlinearity has the subcritical power in H-1(R-n), n greater than or equal to 1.Mathematics, AppliedMathematicsSCI(E)2ARTICLE164-744