{ "id": "1212.4623", "version": "v1", "published": "2012-12-19T11:11:06.000Z", "updated": "2012-12-19T11:11:06.000Z", "title": "Well-posedness for the Cauchy problem for a fractional porous medium equation with variable density in one space dimension", "authors": [ "Fabio Punzo", "Gabriele Terrone" ], "categories": [ "math.AP" ], "abstract": "We study existence and uniqueness of bounded solutions to a fractional nonlinear porous medium equation with a variable density, in one space dimension.", "revisions": [ { "version": "v1", "updated": "2012-12-19T11:11:06.000Z" } ], "analyses": { "subjects": [ "35A01", "35A02", "35E15", "35K55", "35R11" ], "keywords": [ "fractional porous medium equation", "space dimension", "variable density", "cauchy problem", "well-posedness" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1212.4623P" } } }