{ "id": "0805.2720", "version": "v3", "published": "2008-05-18T10:51:26.000Z", "updated": "2009-05-23T15:26:30.000Z", "title": "Local solutions in Sobolev spaces with negative indices for the \"good\" Boussinesq equation", "authors": [ "Luiz Gustavo Farah" ], "comment": "Referee comments incorporated", "journal": "Communications in Partial Differential Equations 34 (2009), 52-73", "doi": "10.1080/03605300802682283", "categories": [ "math.AP" ], "abstract": "We study the local well-posedness of the initial-value problem for the nonlinear \"good\" Boussinesq equation with data in Sobolev spaces \\textit{$H^s$} for negative indices of $s$.", "revisions": [ { "version": "v3", "updated": "2009-05-23T15:26:30.000Z" } ], "analyses": { "subjects": [ "35B30", "35Q55", "35Q72" ], "keywords": [ "boussinesq equation", "sobolev spaces", "negative indices", "local solutions" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0805.2720F" } } }