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

2012/06/08 by da Veiga, Hugo Beirao
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1206.1808

Abstract

We study the regularity of the solutions to initial-boundary value problems for N-systems of the p-Laplacian type, in n≥ 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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