{ "id": "math/0311150", "version": "v1", "published": "2003-11-10T17:45:58.000Z", "updated": "2003-11-10T17:45:58.000Z", "title": "Estimates for the Dirichlet-wave equation and applications to nonlinear wave equations", "authors": [ "Christopher D. Sogge" ], "comment": "A survey paper based on lectures given at Kyoto in the summer of 2002", "categories": [ "math.AP" ], "abstract": "In this article we shall go over recent work in proving dispersive and Strichartz estimates for the Dirichlet-wave equation. We shall discuss applications to existence questions outside of obstacles and discuss open problems.", "revisions": [ { "version": "v1", "updated": "2003-11-10T17:45:58.000Z" } ], "analyses": { "subjects": [ "35L70", "42B99" ], "keywords": [ "nonlinear wave equations", "dirichlet-wave equation", "applications", "existence questions outside", "strichartz estimates" ], "tags": [ "lecture notes" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2003math.....11150S" } } }