{ "id": "1205.0510", "version": "v1", "published": "2012-05-02T18:12:39.000Z", "updated": "2012-05-02T18:12:39.000Z", "title": "Generalized solutions of nonlinear differential equations A nonstandard jets approach", "authors": [ "Tom McGaffey" ], "categories": [ "math.AP" ], "abstract": "Using the rudiments of pde jets theory in a nonstandard setting, we first deepen and extend previous nonstandard existence results for generalized solutions of linear differential equations and second extend the previous results for linear differential equations to a much broader class of nonlinear differential equations.", "revisions": [ { "version": "v1", "updated": "2012-05-02T18:12:39.000Z" } ], "analyses": { "subjects": [ "35D99", "26E35" ], "keywords": [ "nonlinear differential equations", "nonstandard jets approach", "generalized solutions", "pde jets theory", "nonstandard existence results" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1205.0510M" } } }