{ "id": "1501.01541", "version": "v1", "published": "2015-01-07T16:22:22.000Z", "updated": "2015-01-07T16:22:22.000Z", "title": "On a nonlocal Cahn-Hilliard equation with a reaction term", "authors": [ "Stefano Melchionna", "Elisabetta Rocca" ], "categories": [ "math.AP" ], "abstract": "We prove existence, uniqueness, regularity and separation properties for a nonlocal Cahn-Hilliard equation with a reaction term. We deal here with the case of logarithmic potential and degenerate mobility as well an uniformly lipschitz in $u$ reaction term $g(x,t,u).$", "revisions": [ { "version": "v1", "updated": "2015-01-07T16:22:22.000Z" } ], "analyses": { "keywords": [ "nonlocal cahn-hilliard equation", "reaction term", "separation properties", "logarithmic potential", "degenerate mobility" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv150101541M" } } }