The global solvability of initial-boundary value problem for nondiagonal parabolic systems

2013/05/27 by Neves, Wladimir, Vishnevskii, Mikhail
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1305.6303

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.

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