{
  "id": "1805.04312",
  "version": "v1",
  "published": "2018-05-11T10:34:36.000Z",
  "updated": "2018-05-11T10:34:36.000Z",
  "title": "Initial-boundary value problems for complex Ginzburg-Landau equations governed by $p$-Laplacian in general domains",
  "authors": [
    "Takanori Kuroda",
    "Mitsuharu Ôtani"
  ],
  "comment": "33 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, complex Ginzburg-Landau (CGL) equations governed by p-Laplacian are studied. We discuss the global existence of solutions for the initial-boundary value problem of the equation in general domains. The global solvability of the initial-boundary value problem for the case when $p = 2$ is already examined by several authors provided that parameters appearing in CGL equations satisfy a suitable condition. Our approach to CGL equations is based on the theory of parabolic equations with non-monotone perturbations. By using this method together with some approximate procedure and a diagonal argument, the global solvability is shown without assuming any growth conditions on the nonlinear terms.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-05-11T10:34:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q56",
      "47J35",
      "35K61"
    ],
    "keywords": [
      "initial-boundary value problem",
      "complex ginzburg-landau equations",
      "general domains",
      "global solvability",
      "cgl equations satisfy"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}