Carleman estimate for complex second order elliptic operators with discontinuous Lipschitz coefficients
Analysis of PDEs
2020-01-14 v1
Abstract
In this paper, we derive a local Carleman estimate for the complex second order elliptic operator with Lipschitz coefficients having jump discontinuities. Combing the result in [BL] and the arguments in [DcFLVW], we present an elementary method to derive the Carleman estimate under the optimal regularity assumption on the coefficients.
Cite
@article{arxiv.2001.04071,
title = {Carleman estimate for complex second order elliptic operators with discontinuous Lipschitz coefficients},
author = {E. Francini and S. Vessella and J. -N. Wang},
journal= {arXiv preprint arXiv:2001.04071},
year = {2020}
}