Quantitative uniqueness estimates for the general second order elliptic equations
Journal
Journal of Functional Analysis
Journal Volume
266
Journal Issue
8
Pages
5108-5125
Date Issued
2014
Author(s)
Lin, C.-L.
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. © 2014 Elsevier Inc.
Type
journal article
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