L^p solvability of the Stationary Stokes problem on domains with conical singularity in any dimension

2010/07/30 by Dindoš, Martin, Maz'ya, Vladimir
#35J47 #35J57 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1007.5495

Abstract

The Dirichlet boundary value problem for the Stokes operator with L^p data in any dimension on domains with conical singularity (not necessary a Lipschitz graph) is considered. We establish the solvability of the problem for all p∈ (2-ε,∞] and also its solvability in C(D) for the data in C(∂ D)

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