{
  "id": "2003.05765",
  "version": "v1",
  "published": "2020-03-12T13:06:08.000Z",
  "updated": "2020-03-12T13:06:08.000Z",
  "title": "Admissible boundary values for the Gerdjikov-Ivanov equation with asymptotically time-periodic boundary data",
  "authors": [
    "Samuel Fromm"
  ],
  "comment": "13 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider the Gerdjikov-Ivanov equation in the quarter plane with Dirichlet boundary data and Neumann value converging to single exponentials $\\alpha e^{i\\omega t}$ and $ce^{i\\omega t}$ as $t\\to\\infty$, respectively. Under the assumption that the initial data decay as $x\\to\\infty$, we derive necessary conditions on the parameters $\\alpha$, $\\omega$, $c$ for the existence of a solution of the corresponding initial boundary value problem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-12T13:06:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37K15",
      "35Q15"
    ],
    "keywords": [
      "asymptotically time-periodic boundary data",
      "admissible boundary values",
      "gerdjikov-ivanov equation",
      "corresponding initial boundary value problem",
      "initial data decay"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}