English

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

Analysis of PDEs 2013-05-28 v1

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.

Keywords

Cite

@article{arxiv.1305.6303,
  title  = {The global solvability of initial-boundary value problem for nondiagonal parabolic systems},
  author = {Wladimir Neves and Mikhail Vishnevskii},
  journal= {arXiv preprint arXiv:1305.6303},
  year   = {2013}
}

Comments

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R2 v1 2026-06-22T00:23:23.031Z