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arXiv · 1305.6303

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

Wladimir Neves·Mikhail Vishnevskii
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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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Wladimir Neves, Mikhail Vishnevskii. 2013-05-27. The global solvability of initial-boundary value problem for nondiagonal parabolic systems. https://arxiv.org/abs/1305.6303

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