A criterion of Petrowsky's kind for a degenerate quasilinear parabolic equation

Peter Lindqvist

doi:10.4171/rmi/185

JournalsrmiVol. 11, No. 3pp. 569–578

A criterion of Petrowsky's kind for a degenerate quasilinear parabolic equation

Peter Lindqvist
Norwegian University of Science and Technology, Trondheim, Norway
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Abstract

The celebrated criterion of Petrowsky for the regularity of the latest boundary point, originally formulated for the heat equation, is extended to the so-called $p$ -parabolic eqtlation. A barrier is constructed by the aid of the Barenblatt solution.

Cite this article

Peter Lindqvist, A criterion of Petrowsky's kind for a degenerate quasilinear parabolic equation. Rev. Mat. Iberoam. 11 (1995), no. 3, pp. 569–578

DOI 10.4171/RMI/185