{
  "id": "1112.2304",
  "version": "v12",
  "published": "2011-12-10T21:54:46.000Z",
  "updated": "2013-08-08T18:59:07.000Z",
  "title": "Variational resolution for some general classes of nonlinear evolutions. Part I",
  "authors": [
    "Arkady Poliakovsky"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We develop a variational technique for some wide classes of nonlinear evolutions. The novelty here is that we derive the main information directly from the corresponding Euler-Lagrange equations. In particular, we prove that not only the minimizer of the appropriate energy functional but also any critical point must be a solution of the corresponding evolutional system.",
  "revisions": [
    {
      "version": "v12",
      "updated": "2013-08-08T18:59:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonlinear evolutions",
      "general classes",
      "variational resolution",
      "appropriate energy functional",
      "main information"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1112.2304P"
    }
  }
}