Carleman estimates for elliptic operators with jumps at an interface: Anisotropic case and sharp geometric conditions
Analysis of PDEs
2016-01-20 v1
Abstract
We consider a second-order selfadjoint elliptic operator with an anisotropic diffusion matrix having a jump across a smooth hypersurface. We prove the existence of a weight-function such that a Carleman estimate holds true. We moreover prove that the conditions imposed on the weight function are necessary.
Keywords
Cite
@article{arxiv.1012.3212,
title = {Carleman estimates for elliptic operators with jumps at an interface: Anisotropic case and sharp geometric conditions},
author = {Jérôme Le Rousseau and Nicolas Lerner},
journal= {arXiv preprint arXiv:1012.3212},
year = {2016}
}
Comments
43 pages