Localized peaking regimes for quasilinear doubly degenerate parabolic equations

Andrey E. Shishkov; Yevgeniia A. Yevgenieva

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arXiv · 1811.00629

Localized peaking regimes for quasilinear doubly degenerate parabolic equations

Andrey E. Shishkov·Yevgeniia A. Yevgenieva

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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.

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Andrey E. Shishkov, Yevgeniia A. Yevgenieva. 2018-11-01. Localized peaking regimes for quasilinear doubly degenerate parabolic equations. https://arxiv.org/abs/1811.00629

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