Three-region inequalities for the second order elliptic equation with discontinuous coefficients and size estimate
Journal
Journal of Differential Equations
Journal Volume
261
Journal Issue
10
Pages
5306-5323
Date Issued
2016
Author(s)
Abstract
In this paper, we would like to derive a quantitative uniqueness estimate, the three-region inequality, for the second order elliptic equation with jump discontinuous coefficients. The derivation of the inequality relies on the Carleman estimate proved in our previous work [5]. We then apply the three-region inequality to study the size estimate problem with one boundary measurement.
Type
journal article