paper

The Stokes and Poisson problem in variable exponent spaces

arXiv:1205.3287 · doi:10.1080/17476933.2010.504843

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.

20 pages, 1 figure

The Stokes and Poisson problem in variable exponent spaces · wovepaper