{
  "id": "1311.2659",
  "version": "v1",
  "published": "2013-11-12T02:17:36.000Z",
  "updated": "2013-11-12T02:17:36.000Z",
  "title": "Riemann-Hilbert Approach to the Helmholtz Equation in a quarter-plane. Revisited",
  "authors": [
    "Alexander Its",
    "Elizabeth Its"
  ],
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We revisit the Helmholts equation in a quarter-plane in the framework of the Riemann-Hilbert approach to linear boundary value problems suggested in late 90s by A. Fokas. We show the role of the Sommerfeld radiation condition in Fokas's scheme.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-11-12T02:17:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "riemann-hilbert approach",
      "helmholtz equation",
      "quarter-plane",
      "linear boundary value problems",
      "sommerfeld radiation condition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1311.2659I"
    }
  }
}