{
  "id": "1007.0231",
  "version": "v5",
  "published": "2010-07-01T19:01:45.000Z",
  "updated": "2011-10-31T18:34:35.000Z",
  "title": "Concentration of eigenfunctions near a concave boundary",
  "authors": [
    "Sinan Ariturk"
  ],
  "comment": "32 pages. Made more corrections.arXiv admin note: substantial text overlap with arXiv:1007.0230",
  "categories": [
    "math.AP"
  ],
  "abstract": "This paper concerns the concentration of Dirichlet eigenfunctions of the Laplacian on a compact two-dimensional Riemannian manifold with strictly geodesically concave boundary. We link three inequalities which bound the concentration in different ways. We also prove one of these inequalities, which bounds the L^p norms of the restrictions of eigenfunctions to broken geodesics.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2011-10-31T18:34:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58J50",
      "35P20"
    ],
    "keywords": [
      "concentration",
      "compact two-dimensional riemannian manifold",
      "inequalities",
      "dirichlet eigenfunctions",
      "strictly geodesically concave boundary"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1007.0231A"
    }
  }
}