{
  "id": "1807.01968",
  "version": "v1",
  "published": "2018-07-05T12:48:12.000Z",
  "updated": "2018-07-05T12:48:12.000Z",
  "title": "Decay of approximate solutions for the damped semilinear wave equation on a bounded 1d domain",
  "authors": [
    "Debora Amadori",
    "Fatima Al-Zahrà Aqel",
    "Edda Dal Santo"
  ],
  "comment": "31 pages, 5 figures",
  "categories": [
    "math.AP"
  ],
  "abstract": "By relying on the probabilistic interpretation of the solution, we study the long-time behavior for a semilinear hyperbolic system with space-dependent and nonlinear damping term. The analysis provides error estimates of a class of approximate solutions and exponential convergence in $L^\\infty$ towards a stationary solution.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-07-05T12:48:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35L50",
      "35B40",
      "35L20"
    ],
    "keywords": [
      "damped semilinear wave equation",
      "bounded 1d domain",
      "approximate solutions",
      "semilinear hyperbolic system",
      "error estimates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}