Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8896734 | Journal of Functional Analysis | 2018 | 24 Pages |
Abstract
Given an elliptic operator P on a non-compact manifold (with proper asymptotic conditions), there is a discrete set of numbers called indicial roots. It's known that P is Fredholm between weighted Sobolev spaces if and only if the weight is not indicial. We show that an elliptic theory exists even when the weight is indicial. We also discuss some simple applications to Yang-Mills theory and minimal surfaces.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Yuanqi Wang,