Carleman estimate for second order elliptic equations with Lipschitz leading coefficients and jumps at an interface
Journal
Journal des Mathematiques Pures et Appliquees
Journal Volume
108
Journal Issue
2
Pages
163-206
Date Issued
2017
Author(s)
Abstract
In this paper we prove a local Carleman estimate for second order elliptic equations with a general anisotropic Lipschitz coefficients having a jump at an interface. The argument we use is of microlocal nature. Yet, not relying on pseudodifferential calculus, our approach allows one to achieve almost optimal assumptions on the regularity of the coefficients and, consequently, of the interface.
SDGs
Type
journal article