{
  "id": "math/0010314",
  "version": "v1",
  "published": "2000-10-31T14:19:38.000Z",
  "updated": "2000-10-31T14:19:38.000Z",
  "title": "Basics of the b-calculus",
  "authors": [
    "Daniel Grieser"
  ],
  "comment": "55 pages, 6 figures. To appear in: J.B.Gil et al. (eds.), Approaches to Singular Analysis, Advances in Partial Differential Equations, Birkh\\\"auser, Basel, 2000",
  "categories": [
    "math.AP",
    "math.DG"
  ],
  "abstract": "R. B. Melrose's b-calculus provides a framework for dealing with problems of partial differential equations that arise in singular or degenerate geometric situations. This article is a somewhat informal short course introducing many of the basic ideas of this world, assuming little more than a basic analysis and manifold background. As examples, classical pseudodifferential operators on manifolds and b-pseudodifferential (also known as totally characteristic) operators on manifolds with boundary are discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-10-31T14:19:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58-01",
      "35-01"
    ],
    "keywords": [
      "partial differential equations",
      "degenerate geometric situations",
      "somewhat informal short course introducing",
      "melroses b-calculus",
      "basic ideas"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 55,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math.....10314G"
    }
  }
}