Anisotropic Function Spaces and Elliptic Boundary Value Problems

Details Anisotropic Function Spaces and Elliptic Boundary Value Problems Anisotropic Function Spaces and Elliptic Boundary Value Problems

2010-10-19

arxiv.org/abs/1010.4046v2

Mathematics

Classical Analysis and ODEs

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

Scientific paper

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.

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