{
  "id": "1607.01505",
  "version": "v1",
  "published": "2016-07-06T08:13:35.000Z",
  "updated": "2016-07-06T08:13:35.000Z",
  "title": "Strong maximum principles for fractional elliptic and parabolic problems with mixed boundary conditions",
  "authors": [
    "Begoña Barrios",
    "María Medina"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We present some comparison results for solutions to certain non local elliptic and parabolic problems that involve the fractional Laplacian operator and mixed boundary conditions, given by a zero Dirichlet datum on part of the complementary of the domain and zero Neumann data on the rest. These results represent a non local generalization of a Hopf's lemma for elliptic and parabolic problems with mixed conditions. In particular we prove the non local version of the results obtained by J. D\\'avila and J. D\\'avila-L. Dupaigne for the classical case respectively.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-07-06T08:13:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "mixed boundary conditions",
      "parabolic problems",
      "strong maximum principles",
      "fractional elliptic",
      "non local version"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}