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- W4295690932 abstract "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-boundary value problem of the equations in general domains. The local well-posedness in H1 in bounded domains is already examined by authors (2019). Our approach to CGL equations is based on the theory of parabolic equations governed by subdifferential operators with non-monotone perturbations. By using this method together with the Yosida approximation procedure, we discuss the existence and the uniqueness of local solutions as well as the global existence of solutions with small initial data." @default.
- W4295690932 created "2022-09-14" @default.
- W4295690932 creator A5033757440 @default.
- W4295690932 creator A5053883774 @default.
- W4295690932 date "2022-09-10" @default.
- W4295690932 modified "2023-10-14" @default.
- W4295690932 title "Local well-posedness of the complex Ginzburg-Landau Equation in general domains" @default.
- W4295690932 doi "https://doi.org/10.48550/arxiv.2209.04727" @default.
- W4295690932 hasPublicationYear "2022" @default.
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