%0 Journal Article
%T The global solvability of initial-boundary value problem for nondiagonal parabolic systems
%A Wladimir Neves
%A Mikhail Vishnevskii
%J Mathematics
%D 2013
%I arXiv
%X 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.
%U http://arxiv.org/abs/1305.6303v1