The Stokes resolvent in 3D domains with conical boundary points: nonregularity in $L^p$-spaces
Paul Deuring · Advances in Differential Equations · 2001
It is shown that solutions of the 3D Stokes resolvent problem in domains with conical boundary points, under homogeneous Dirichlet boundary conditions, do not satisfy the usual resolvent estimate in $L^p$-spaces if $p $ is close to infinity or close to $1.$