{
  "id": "1409.1518",
  "version": "v1",
  "published": "2014-09-04T18:37:37.000Z",
  "updated": "2014-09-04T18:37:37.000Z",
  "title": "Stability properties for quasilinear parabolic equations with measure data",
  "authors": [
    "Marie-Françoise Bidaut-Véron",
    "Quoc-Hung Nguyen"
  ],
  "comment": "arXiv admin note: substantial text overlap with arXiv:1310.5253",
  "categories": [
    "math.AP"
  ],
  "abstract": "Let $\\Omega$ be a bounded domain of $\\mathbb{R}^{N}$, and $Q=\\Omega \\times(0,T).$ We study problems of the model type \\[ \\left\\{ \\begin{array} [c]{l}% {u_{t}}-{\\Delta_{p}}u=\\mu\\qquad\\text{in }Q,\\\\ {u}=0\\qquad\\text{on }\\partial\\Omega\\times(0,T),\\\\ u(0)=u_{0}\\qquad\\text{in }\\Omega, \\end{array} \\right. \\] where $p>1$, $\\mu\\in\\mathcal{M}_{b}(Q)$ and $u_{0}\\in L^{1}(\\Omega).$ Our main result is a \\textit{stability theorem }extending the results of Dal Maso, Murat, Orsina, Prignet, for the elliptic case, valid for quasilinear operators $u\\longmapsto\\mathcal{A}(u)=$div$(A(x,t,\\nabla u))$\\textit{. }",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-04T18:37:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quasilinear parabolic equations",
      "measure data",
      "stability properties",
      "model type",
      "study problems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.1518B"
    }
  }
}