The Poisson and Stokes problems in nonconvex, Lipschitz polytopes
Analysis of PDEs
2017-11-27 v1
Abstract
We show the well-posedness of the Poisson and Stokes problems in weighted spaces over nonconvex, Lipschitz polytopes. For a particular range of , we consider those weights in the Muckenhoupt class that have no singularities in a neighborhood of the boundary of the domain.
Cite
@article{arxiv.1711.08542,
title = {The Poisson and Stokes problems in nonconvex, Lipschitz polytopes},
author = {Enrique Otarola and Abner J. Salgado},
journal= {arXiv preprint arXiv:1711.08542},
year = {2017}
}