arXiv:1305.6303 Abstract | arXiv Analytics

arXiv:1305.6303 [math.AP]Abstract References Reviews Resources

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

Published 2013-05-27Version 1

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.

Comments: 28

Categories: math.AP

Keywords: initial-boundary value problem, nondiagonal parabolic systems, global solvability, quasilinear nondiagonal parabolic type systems, principal elliptic operator

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