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Original Articles

Decay bounds for solutions of second order parabolic problems and their derivatives IV

, &
Pages 293-302 | Received 31 Jul 2004, Accepted 29 Apr 2005, Published online: 25 Jan 2007
 

Abstract

This article continues the derivation of explicit solution and gradient bounds for classes of second order nonlinear parabolic initial-boundary value problems. Earlier results were restricted to domains with boundaries of nonnegative average curvature. The purpose of the present article is to remove the curvature restriction and to extend the results to more general parabolic problems.

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