Localized Blow-Up Regimes for Quasilinear Doubly Degenerate Parabolic Equations

A. E. Shishkov ; Y. A. Yevgenieva

Matematičeskie zametki, Tome 106 (2019) no. 4, pp. 622-635.

Résumé

Singular blow-up regimes are studied for a wide class of second-order quasilinear parabolic equations. Energy methods are used to obtain exact (in a certain sense) estimates of the final profile of the generalized solution near the blow-up time depending on the rate of increase of the global energy of this solution.

Détail

Keywords: quasilinear parabolic equations, energy solutions, blow-up regimes.

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