Abstract
We consider a second-order self-adjoint 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 also prove that the conditions imposed on the weight function are sharp.
Citation
Jérôme Le Rousseau. Nicolas Lerner. "Carleman estimates for anisotropic elliptic operators with jumps at an interface." Anal. PDE 6 (7) 1601 - 1648, 2013. https://doi.org/10.2140/apde.2013.6.1601
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