{
  "id": "0903.2599",
  "version": "v2",
  "published": "2009-03-15T01:56:20.000Z",
  "updated": "2016-03-04T09:50:09.000Z",
  "title": "A variational approach to strongly damped wave equations",
  "authors": [
    "Delio Mugnolo"
  ],
  "comment": "This is an extended version of an article appeared in \\emph{Functional Analysis and Evolution Equations -- The G\\\"unter Lumer Volume}, edited by H. Amann et al., Birkh\\\"auser, Basel, 2008. In the latest submission to arXiv only some typos have been fixed",
  "categories": [
    "math.AP",
    "math.FA"
  ],
  "abstract": "We discuss a Hilbert space method that allows to prove analytical well-posedness of a class of linear strongly damped wave equations. The main technical tool is a perturbation lemma for sesquilinear forms, which seems to be new. In most common linear cases we can furthermore apply a recent result due to Crouzeix--Haase, thus extending several known results and obtaining optimal analyticity angle.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-03-15T01:56:20.000Z",
      "comment": "This is an extended version of an article appeared in \\emph{Functional Analysis and Evolution Equations -- The G\\\"unter Lumer Volume}, edited by H. Amann et al., Birkh\\\"auser, Basel, 2008",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2016-03-04T09:50:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47D09",
      "35L20"
    ],
    "keywords": [
      "variational approach",
      "linear strongly damped wave equations",
      "hilbert space method",
      "common linear cases",
      "obtaining optimal analyticity angle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0903.2599M"
    }
  }
}