{
  "id": "1409.3209",
  "version": "v1",
  "published": "2014-09-10T19:45:51.000Z",
  "updated": "2014-09-10T19:45:51.000Z",
  "title": "Probabilistic local and global well-posedness for the nonlinear wave equation on $B_2\\times\\mathbb{T}$",
  "authors": [
    "Aynur Bulut"
  ],
  "comment": "34 pages",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We establish probabilistic local and global well-posedness results for the nonlinear wave equation, posed on the domain $B_2\\times\\mathbb{T}$, with randomly chosen initial data having radial symmetry in the $B_2$ variable, and with vanishing Dirichlet boundary conditions on $\\partial B_2\\times\\mathbb{T}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-10T19:45:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonlinear wave equation",
      "vanishing dirichlet boundary conditions",
      "global well-posedness results",
      "randomly chosen initial data",
      "establish probabilistic local"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.3209B"
    }
  }
}