Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590158 | Journal of Functional Analysis | 2014 | 18 Pages |
Abstract
In this paper we study quantitative uniqueness estimates of solutions to general second order elliptic equations with magnetic and electric potentials. We derive lower bounds of decay rate at infinity for any nontrivial solution under some general assumptions. The lower bounds depend on asymptotic behaviors of magnetic and electric potentials. The proof is carried out by the Carleman method and bootstrapping arguments.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Ching-Lung Lin, Jenn-Nan Wang,