Carleman estimates for anisotropic elliptic operators with jumps at an interface

نویسندگان

  • Jérôme Le Rousseau
  • Nicolas Lerner
چکیده

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 sharp.

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تاریخ انتشار 2013