{
  "id": "2008.05684",
  "version": "v1",
  "published": "2020-08-13T04:13:32.000Z",
  "updated": "2020-08-13T04:13:32.000Z",
  "title": "Local well-posedness for quasilinear problems: a primer",
  "authors": [
    "Mihaela Ifrim",
    "Daniel Tataru"
  ],
  "comment": "1 figure, 19 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "Proving local well-posedness for quasilinear problems in pde's presents a number of difficulties, some of which are universal and others of which are more problem specific. While a common standard, going back to Hadamard, has existed for a long time, there are by now both many variations and many misconceptions in the subject. The aim of these notes is to collect a number of both classical and more recent ideas in this direction, and to assemble them into a cohesive road map that can be then adapted to the reader's problem of choice.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-08-13T04:13:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35L45",
      "35L50",
      "35L60"
    ],
    "keywords": [
      "quasilinear problems",
      "proving local well-posedness",
      "problem specific",
      "common standard",
      "long time"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}