English

Localized peaking regimes for quasilinear doubly degenerate parabolic equations

Analysis of PDEs 2018-11-05 v1

Abstract

Regimes with a singular peaking for a wide class of quasilinear second order parabolic equations are studied. On the basis of energy methods, precise estimates of a final profile of a weak solution in a neighborhood of the peaking time are established depending on the rate of increase of a global energy of this solution. Key words: quasilinear parabolic equations, peaking regimes, energy solutions.

Keywords

Cite

@article{arxiv.1811.00629,
  title  = {Localized peaking regimes for quasilinear doubly degenerate parabolic equations},
  author = {Andrey E. Shishkov and Yevgeniia A. Yevgenieva},
  journal= {arXiv preprint arXiv:1811.00629},
  year   = {2018}
}

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in Russian