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- W2964136655 abstract "In this paper, complex Ginzburg-Landau (CGL) equations governed by p-Laplacianare studied. We discuss the global existence of solutions for the initial-boundary valueproblem of the equation in general domains. The global solvability of the initialboundaryvalue problem for the case when p = 2 is already examined by several authorsprovided that parameters appearing in CGL equations satisfy a suitable condition. Ourapproach to CGL equations is based on the theory of parabolic equations with nonmonotoneperturbations. By using this method together with some approximate procedureand a diagonal argument, the global solvability is shown without assuming anygrowth conditions on the nonlinear terms." @default.
- W2964136655 created "2019-07-30" @default.
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- W2964136655 date "2018-09-30" @default.
- W2964136655 modified "2023-10-14" @default.
- W2964136655 title "Initial-boundary value problems for complex Ginzburg-Landau equations governed by p-Laplacian in general domains" @default.
- W2964136655 doi "https://doi.org/10.14510/lm-ns.v0i0.1414" @default.
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