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Boundedness of Solutions of Parabolic Equations With Anisotropic Growth Conditions

Published online by Cambridge University Press:  20 November 2018

Yu Mingqi  and
Lian Xiting
Yu Mingqi
Affiliation:
Department of Mathematics, Shanxi University, Taiyuan, 030006, People's Republic of China
Lian Xiting
Affiliation:
Department of Mathematics, Zhongshan University, Guangzhou, 510275, People's Republic of China
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Abstract

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In this paper, we consider the parabolic equation with anisotropic growth conditions, and obtain some criteria on boundedness of solutions, which generalize the corresponding results for the isotropic case.

Keywords

35K5735K99Parabolic equationanisotropic growth conditionsgeneralized solutionboundedness
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 49 , Issue 4 , 01 August 1997 , pp. 798 - 809
Copyright
Copyright © Canadian Mathematical Society 1997

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