{
  "id": "1411.6896",
  "version": "v1",
  "published": "2014-11-25T15:50:50.000Z",
  "updated": "2014-11-25T15:50:50.000Z",
  "title": "Spectral properties of integral operators in problems of interface dynamics",
  "authors": [
    "Enza Orlandi"
  ],
  "comment": "51 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider a family of integral operators which appears when analyzing layered equilibria and front dynamics of a phase kinetics equation with a conservation law. We study the spectra of these operators in $L^2$ and derive a lower bound for the associated quadratic forms in terms of the $H^{-1}$ norm.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-11-25T15:50:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "integral operators",
      "interface dynamics",
      "spectral properties",
      "phase kinetics equation",
      "front dynamics"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 51,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1411.6896O"
    }
  }
}