Fredholm Properties of Elliptic Operators on $\R^n$
Abstract
We study the Fredholm properties of a general class of elliptic differential operators on $\R^n$. These results are expressed in terms of a class of weighted function spaces, which can be locally modeled on a wide variety of standard function spaces, and a related spectral pencil problem on the sphere, which is defined in terms of the asymptotic behaviour of the coefficients of the original operator.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 December 2000
 arXiv:
 arXiv:math/0012020
 Bibcode:
 2000math.....12020E
 Keywords:

 Analysis of PDEs;
 35J30;
 35J45;
 47A53
 EPrint:
 AMSLaTeX, 61 pages