{
  "id": "0907.0566",
  "version": "v1",
  "published": "2009-07-03T08:58:54.000Z",
  "updated": "2009-07-03T08:58:54.000Z",
  "title": "Convergence to steady states for radially symmetric solutions to a quasilinear degenerate diffusive Hamilton-Jacobi equation",
  "authors": [
    "Guy Barles",
    "Philippe Laurençot",
    "Christian Stinner"
  ],
  "journal": "Asymptotic Analysis 67, 3-4 (2010) 229--250",
  "categories": [
    "math.AP"
  ],
  "abstract": "Convergence to a single steady state is shown for non-negative and radially symmetric solutions to a diffusive Hamilton-Jacobi equation with homogeneous Dirichlet boundary conditions, the diffusion being the $p$-Laplacian operator, $p\\ge 2$, and the source term a power of the norm of the gradient of $u$. As a first step, the radially symmetric and non-increasing stationary solutions are characterized.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-07-03T08:58:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K65",
      "35B40",
      "35J70",
      "49L25",
      "35B05"
    ],
    "keywords": [
      "quasilinear degenerate diffusive hamilton-jacobi equation",
      "radially symmetric solutions",
      "steady state",
      "convergence"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0907.0566B"
    }
  }
}