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LOCAL BOUNDEDNESS OF WEAK SOLUTIONS FOR SINGULAR PARABOLIC SYSTEMS OF p-LAPLACIAN TYPE

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CORINA KARIM, M. MARJONO

2018 Australian Journal of Mathematical Analysis and Applications Vol. 15 Issue 2 Article Cited by 3 Quartile

Abstract

We study the local boundedness of weak solutions for evolutional p-Laplacian systems in the singular case. The initial data is belonging to Lebesgue space L∞(0, T; W (1,p)(Ω, Rn)). We use intrinsic scaling method to treat the boundedness of weak solutions. The main result is to make the local boundedness of weak solution for the systems well-worked in the intrinsic scaling. © 2018 Austral Internet Publishing. All rights reserved.

Affiliations

Department of Mathematics, Universitas Brawijaya, Indonesia