Research Article
A Complement to the Fredholm Theory of Elliptic Systems on Bounded Domains
Department of Mathematics, University of Pittsburgh, Pittsburgh, PA 15260, USA
Boundary Value Problems 2009, 2009:637243 doi:10.1155/2009/637243
Published: 14 July 2009Abstract
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.
