3 research outputs found
Three-region inequalities for the second order elliptic equation with discontinuous coefficients and size estimate
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.Comment: 16 pages, 1 figur