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Holder Regularity for the Gradients of Solutions of Degenerate Parabolic Systems

We study a class of parabolic systems of the form vt = div(F(|Dv|Dv). The function F satisfies a few technical hypotheses which are satisfied, for example, by F(s) = sⁿ⁻² with n > 1. Hence our results extend the standard results for the parabolic p-Laplacian operator. The method of proof is simil...

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Bibliographic Details
Main Author: Lieberman, G.M.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2006
Series:Український математичний вісник
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/124558
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