{
  "id": "0707.0750",
  "version": "v3",
  "published": "2007-07-05T10:13:44.000Z",
  "updated": "2010-04-24T17:47:24.000Z",
  "title": "Nonlinear PDEs and Scale Dependence",
  "authors": [
    "Garry Pantelis"
  ],
  "comment": "typo corrected",
  "categories": [
    "math.AP",
    "math.DS"
  ],
  "abstract": "The properties of nonlinear PDEs that generate filtered solutions are explored with particular attention given to the constraints on the residual term. The analysis is carried out for nonlinear PDEs with an emphasis on evolution problems recast on space-time-scale. We examine the role of approximation that allow for the generation of solutions on isolated scale slices.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-04-24T17:47:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonlinear pdes",
      "scale dependence",
      "evolution problems recast",
      "generate filtered solutions",
      "isolated scale slices"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0707.0750P"
    }
  }
}