{
  "id": "1210.7671",
  "version": "v1",
  "published": "2012-10-29T14:09:14.000Z",
  "updated": "2012-10-29T14:09:14.000Z",
  "title": "Sup-norm estimates for parabolic systems with dynamic boundary conditions",
  "authors": [
    "Ciprian G. Gal"
  ],
  "categories": [
    "math.AP",
    "math.DS"
  ],
  "abstract": "We consider parabolic systems with nonlinear dynamic boundary conditions, for which we give a rigorous derivation. Then, we give them several physical interpretations which includes an interpretation for the porous-medium equation, and for certain reaction-diffusion systems that occur in mathematical biology and ecology. We devise several strategies which imply (uniform)}$L^{p} and}$L^{\\infty}$ estimates on the solutions for the initial value problems considered.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-10-29T14:09:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "parabolic systems",
      "sup-norm estimates",
      "nonlinear dynamic boundary conditions",
      "initial value problems",
      "reaction-diffusion systems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1210.7671G"
    }
  }
}