{ "id": "1305.6303", "version": "v1", "published": "2013-05-27T19:35:58.000Z", "updated": "2013-05-27T19:35:58.000Z", "title": "The global solvability of initial-boundary value problem for nondiagonal parabolic systems", "authors": [ "Wladimir Neves", "Mikhail Vishnevskii" ], "comment": "28", "categories": [ "math.AP" ], "abstract": "In this paper we study the quasilinear nondiagonal parabolic type systems. We assume that the principal elliptic operator, which is part of the parabolic system, has a divergence structure. Under certain conditions it is proved the well-posedness of classical solutions, which exist globally in time.", "revisions": [ { "version": "v1", "updated": "2013-05-27T19:35:58.000Z" } ], "analyses": { "keywords": [ "initial-boundary value problem", "nondiagonal parabolic systems", "global solvability", "quasilinear nondiagonal parabolic type systems", "principal elliptic operator" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1305.6303N" } } }