### The Stokes resolvent in 3D domains with conical boundary points: nonregularity in $L^p$-spaces

Paul Deuring

#### Abstract

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 $1.$

#### Article information

Source
Adv. Differential Equations, Volume 6, Number 2 (2001), 175-228.

Dates
First available in Project Euclid: 2 January 2013

Deuring, Paul. The Stokes resolvent in 3D domains with conical boundary points: nonregularity in $L^p$-spaces. Adv. Differential Equations 6 (2001), no. 2, 175--228. https://projecteuclid.org/euclid.ade/1357141493