Boundedness of weak solutions of a nondiagonal singular parabolic system of three equations

The L∞-estimates of weak solutions are established for a quasilinear nondiagonal parabolic system of singular equations whose matrix of coefficients satisfies special structural conditions. A procedure based on the estimation of linear combinations of the unknowns is used.

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Bibliographic Details
Date:2006
Main Author: Portnyagin, D.V.
Format: Article
Language:English
Published: Інститут математики НАН України 2006
Series:Український математичний журнал
Subjects:
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/165385
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Boundedness of weak solutions of a nondiagonal singular parabolic system of three equations / D.V. Portnyagin // Український математичний журнал. — 2006. — Т. 58, № 8. — С. 1084–1096. — Бібліогр.: 11 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine