{ "id": "math/0306419", "version": "v1", "published": "2003-06-30T04:04:12.000Z", "updated": "2003-06-30T04:04:12.000Z", "title": "A Compactness Theorem for Homogenization of Parabolic Partial Differential Equations", "authors": [ "Hee Chul Pak" ], "comment": "4 pages", "categories": [ "math.AP" ], "abstract": "In order to have a better description of homogenization for parabolic partial differential equations with periodic coefficients, we define the notion of parametric two-scale convergence. A compactness theorem is proved to justify this notion.", "revisions": [ { "version": "v1", "updated": "2003-06-30T04:04:12.000Z" } ], "analyses": { "subjects": [ "35B27", "76M50", "74Q99" ], "keywords": [ "parabolic partial differential equations", "compactness theorem", "homogenization", "parametric two-scale convergence", "better description" ], "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2003math......6419P" } } }