{
  "id": "1705.07230",
  "version": "v1",
  "published": "2017-05-20T00:22:03.000Z",
  "updated": "2017-05-20T00:22:03.000Z",
  "title": "On Time-Periodic Solutions to Parabolic Boundary Value Problems of Agmon-Douglis-Nirenberg Type",
  "authors": [
    "Mads Kyed",
    "Jonas Sauer"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "Time-periodic solutions to partial differential equations of parabolic type corresponding to an operator that is elliptic in the sense of Agmon-Douglis-Nirenberg are investigated. In the whole- and half-space case we construct an explicit formula for the solution and establish coercive Lp estimates. The estimates generalize a famous result of Agmon, Douglis and Nirenberg for elliptic problems to the time-periodic case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-05-20T00:22:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B10",
      "35B45",
      "35K25",
      "35G15"
    ],
    "keywords": [
      "parabolic boundary value problems",
      "time-periodic solutions",
      "agmon-douglis-nirenberg type",
      "partial differential equations",
      "time-periodic case"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}