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math.AP2022
Periodic Solutions of the complex Ginzburg-Landau Equation in bounded domains
Takanori Kuroda, Mitsuharu Ôtani
In this paper, we are concerned with complex Ginzburg-Landau (CGL) equations. There are several results on the global existence and smoothing effects of solutions to the initial bo…
math.AP2022
Local well-posedness of the complex Ginzburg-Landau Equation in general domains
Takanori Kuroda, Mitsuharu Ôtani
In this paper, complex Ginzburg-Landau (CGL) equations with superlinear growth terms are studied. We discuss the local well-posedness in the energy space H1 for the initial-boundar…