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arXiv · 1012.3212

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

Jérôme Le Rousseau·Nicolas Lerner
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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.

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Jérôme Le Rousseau, Nicolas Lerner. 2010-12-15. Carleman estimates for elliptic operators with jumps at an interface: Anisotropic case and sharp geometric conditions. https://doi.org/10.2140/apde.2013.6.1601

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