Year: 2004
Journal of Partial Differential Equations, Vol. 17 (2004), Iss. 4 : pp. 289–302
Abstract
This paper is the parabolic counterpart of previous ones about elliptic operators in unbounded domains. Maximum principles for second-order linear parabolic equations are established showing a variant of the ABP-Krylov-Tso estimate, based on the extension of a technique introduced by Cabré, which in turn makes use of a lower bound for super-solutions due to Krylov and Safonov. The results imply the uniqueness for the Cauchy-Dirichlet problem in a large class of in nite cylindrical and non-cylindrical domains.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2004-JPDE-5394
Journal of Partial Differential Equations, Vol. 17 (2004), Iss. 4 : pp. 289–302
Published online: 2004-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Maximum principle