Singular parabolic p-Laplacian systems under non-smooth external forces. Regularity up to the boundary

Hugo Beirao da Veiga

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arXiv · 1206.1808

Singular parabolic p-Laplacian systems under non-smooth external forces. Regularity up to the boundary

Hugo Beirao da Veiga

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Abstract

We study the regularity of the solutions to initial-boundary value problems for N-systems of the p-Laplacian type, in $n\geq 3$ space variables, with square-integrable external forces in the space-time cylinder. So, the ellipticity coefficient remains unbounded. The singular case $μ=0 $ is covered.

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Hugo Beirao da Veiga. 2012-06-08. Singular parabolic p-Laplacian systems under non-smooth external forces. Regularity up to the boundary. https://arxiv.org/abs/1206.1808

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