Three-region inequalities for the second order elliptic equation with discontinuous coefficients and size estimate
Analysis of PDEs
2015-09-22 v1
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. We then apply the three-region inequality to study the size estimate problem with one boundary measurement.
Keywords
Cite
@article{arxiv.1509.06001,
title = {Three-region inequalities for the second order elliptic equation with discontinuous coefficients and size estimate},
author = {E. Francini and C. -L. Lin and S. Vessella and J. -N. Wang},
journal= {arXiv preprint arXiv:1509.06001},
year = {2015}
}
Comments
16 pages, 1 figure