{
  "id": "1010.0618",
  "version": "v1",
  "published": "2010-10-04T15:07:10.000Z",
  "updated": "2010-10-04T15:07:10.000Z",
  "title": "Isolatedness of characteristic points at blow-up for a semilinear wave equation in one space dimension",
  "authors": [
    "F. Merle",
    "H. Zaag"
  ],
  "comment": "57 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider the semilinear wave equation with power nonlinearity in one space dimension. We consider an arbitrary blow-up solution $u(x,t)$, the graph $x\\mapsto T(x)$ of its blow-up points and ${\\cal S}\\subset {\\mathbb R}$ the set of all characteristic points. We show that ${\\ca S}$ is locally finite.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-10-04T15:07:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35L05",
      "35L71",
      "35L67",
      "35B44",
      "35B40"
    ],
    "keywords": [
      "semilinear wave equation",
      "space dimension",
      "characteristic points",
      "isolatedness",
      "arbitrary blow-up solution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 57,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1010.0618M"
    }
  }
}