This article is cited in 3 papers

Estimates of solutions of parabolic equations degenerating on the boundary of a domain

I. D. Pukal'skii

Chernovtsy State University

Abstract: For a parabolic equation, degenerating as a power on the boundary of a domain, a theorem on the a priori boundary estimates of solutions is established. This theorem is applied for the study of the behavior of the constructed solution of the Dirichlet problem near the boundary.

UDC: 517.9

Received: 20.04.1976

 English version: Mathematical Notes, 1977, 22:4, 799–803

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