{ "id": "math/0601308", "version": "v3", "published": "2006-01-13T03:03:39.000Z", "updated": "2006-09-20T01:45:40.000Z", "title": "Nonlinear wave equations and singular solutions", "authors": [ "Hideshi Yamane" ], "comment": "9 pages", "categories": [ "math.AP" ], "abstract": "We construct solutions to nonlinear wave equations that are singular along a prescribed noncharacteristic hypersurface which is the graph of a function satisfying not the Eikonal but another partial differential equation of the first order. The method of Fuchsian reduction is employed.", "revisions": [ { "version": "v3", "updated": "2006-09-20T01:45:40.000Z" } ], "analyses": { "subjects": [ "35L70", "35A20" ], "keywords": [ "nonlinear wave equations", "singular solutions", "partial differential equation", "construct solutions", "fuchsian reduction" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006math......1308Y" } } }