{
  "id": "math/0604570",
  "version": "v1",
  "published": "2006-04-26T15:10:10.000Z",
  "updated": "2006-04-26T15:10:10.000Z",
  "title": "The L^p Boundary Value Problems on Lipschitz Domains",
  "authors": [
    "Zhongwei Shen"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We develop a new approach to the invertibility of the layer potentials on $L^p$ associated with elliptic equations and systems in Lipschitz domains. As a consequence, for $n\\ge 4$ and $(2(n-1)/(n+1))-\\epsilon<p<2$, we obtain the solvability of the L^p Neumann type boundary value problems for second order elliptic systems. The analogous results for the biharmonic equation are also established.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-04-26T15:10:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J55",
      "35J40"
    ],
    "keywords": [
      "lipschitz domains",
      "neumann type boundary value problems",
      "second order elliptic systems",
      "layer potentials"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......4570S"
    }
  }
}