{
  "id": "1511.09023",
  "version": "v1",
  "published": "2015-11-29T15:13:53.000Z",
  "updated": "2015-11-29T15:13:53.000Z",
  "title": "Elliptic and parabolic equations with Dirichlet conditions at infinity on Riemannian manifolds",
  "authors": [
    "Paolo Mastrolia",
    "Dario D. Monticelli",
    "Fabio Punzo"
  ],
  "categories": [
    "math.AP",
    "math.DG"
  ],
  "abstract": "We investigate existence and uniqueness of bounded solutions of parabolic equations with unbounded coefficients in $M\\times \\mathbb R_+$, where $M$ is a complete noncompact Riemannian manifold. Under specific assumptions, we establish existence of solutions satisfying prescribed conditions at infinity, depending on the direction along which infinity is approached. Moreover, the large-time behavior of such solutions is studied. We consider also elliptic equations on $M$ with similar conditions at infinity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-11-29T15:13:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J25",
      "35J67",
      "35K10",
      "35K20",
      "58J05",
      "58J32",
      "58J35"
    ],
    "keywords": [
      "parabolic equations",
      "dirichlet conditions",
      "complete noncompact riemannian manifold",
      "elliptic equations",
      "large-time behavior"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151109023M"
    }
  }
}