{ "id": "0808.2433", "version": "v1", "published": "2008-08-18T17:33:17.000Z", "updated": "2008-08-18T17:33:17.000Z", "title": "Maximal regularity for parabolic partial differential equations on manifolds with cylindrical ends", "authors": [ "Thomas Krainer" ], "categories": [ "math.AP" ], "abstract": "We give a short, simple proof of maximal regularity for linear parabolic evolution equations on manifolds with cylindrical ends by making use of pseudodifferential parametrices and the concept of R-boundedness for the resolvent.", "revisions": [ { "version": "v1", "updated": "2008-08-18T17:33:17.000Z" } ], "analyses": { "subjects": [ "35K40", "58J05" ], "keywords": [ "parabolic partial differential equations", "maximal regularity", "cylindrical ends", "linear parabolic evolution equations", "simple proof" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0808.2433K" } } }