The Stokes and Poisson problem in variable exponent spaces
Analysis of PDEs
2012-05-16 v1
Abstract
We study the Stokes and Poisson problem in the context of variable exponent spaces. We prove the existence of strong and weak solutions for bounded domains with C^{1,1} boundary with inhomogenous boundary values. The result is based on generalizations of the classical theories of Calderon-Zygmund and Agmon-Douglis-Nirenberg to variable exponent spaces.
Cite
@article{arxiv.1205.3287,
title = {The Stokes and Poisson problem in variable exponent spaces},
author = {Lars Diening and Daniel Lengeler and Michael Ruzicka},
journal= {arXiv preprint arXiv:1205.3287},
year = {2012}
}
Comments
20 pages, 1 figure