{
  "id": "1205.4523",
  "version": "v1",
  "published": "2012-05-21T08:49:02.000Z",
  "updated": "2012-05-21T08:49:02.000Z",
  "title": "Nonlinear balance and asymptotic behavior of supercritical reaction-diffusion equations with nonlinear boundary conditions",
  "authors": [
    "Aníbal Rodríguez-Bernal",
    "Alejandro Vidal-López"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We construct solutions of nonlinear reaction-diffusion equations with nonlinear boundary conditions in spaces where the problem is supercritical and show the nonlinear balance required between the nonlinear terms in order to obtain a dissipative system. Assuming this balance, the dynamics of the solutions is the same that take place in subcritical spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-05-21T08:49:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonlinear boundary conditions",
      "supercritical reaction-diffusion equations",
      "nonlinear balance",
      "asymptotic behavior",
      "nonlinear reaction-diffusion equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1205.4523R"
    }
  }
}