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 Authors: Portnyagin, D. V., Понтрягин, Д. В.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2006
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3515
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal