paper

Anisotropic Function Spaces and Elliptic Boundary Value Problems

arXiv:1010.4046

Abstract

In this paper, we study anisotropic Bessel potential and Besov spaces, where the anisotropy measures the extra amount of regularity in certain directions. Some basic properties of these spaces are established along with applications to elliptic boundary value problems.

20 pages. Corrected some typos and incorporated suggestions from referees. To appear in Math. Nachr