Paper Title:

Local Boundedness of Weak Solutions for Singular Parabolic Systems of p-Laplacian Type

Author(s):

Corina Karim, Marjono

Department of Mathematics,
Universitas Brawijaya,
Indonesia.
E-mail:  co_mathub@ub.ac.id, marjono@ub.ac.id

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.

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