Carleman estimates for elliptic operators with jumps at an interface: Anisotropic case and sharp geometric conditions

Details Carleman estimates for elliptic operators with jumps at an interface: Anisotropic case and sharp geometric conditions Carleman estimates for elliptic operators with jumps at an interface: Anisotropic case and sharp geometric conditions

2010-12-15

arxiv.org/abs/1012.3212v1

Mathematics

Analysis of PDEs

43 pages

Scientific paper

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.

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