{
  "id": "2201.11977",
  "version": "v1",
  "published": "2022-01-28T07:57:10.000Z",
  "updated": "2022-01-28T07:57:10.000Z",
  "title": "On some new results on anisotropic singular perturbations of second order elliptic operator",
  "authors": [
    "David Maltese",
    "Chokri Ogabi"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this article, we deal with some problems involving a class of singularly perturbed elliptic operator. We prove the asymptotic preserving of a general Galerkin method associated to a semilinear problem. We use a particular Galerkin approximation to estimate the convergence rate on the whole domain, for the linear problem. Finally, we study the asymptotic behavior of the semigroup generated.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-01-28T07:57:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "second order elliptic operator",
      "anisotropic singular perturbations",
      "general galerkin method",
      "convergence rate",
      "galerkin approximation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}