Open Access Research Article

A Complement to the Fredholm Theory of Elliptic Systems on Bounded Domains

PatrickJ Rabier

Author Affiliations

Department of Mathematics, University of Pittsburgh, Pittsburgh, PA 15260, USA

Boundary Value Problems 2009, 2009:637243  doi:10.1155/2009/637243

Published: 14 July 2009

Abstract

We fill a gap in the theory of elliptic systems on bounded domains, by proving the -independence of the index and null-space under "minimal" smoothness assumptions. This result has been known for long if additional regularity is assumed and in various other special cases, possibly for a limited range of values of . Here, -independence is proved in full generality.