Carleman estimates for elliptic operators with jumps at an interface: Anisotropic case and sharp geometric conditions
Le Rousseau, Jérôme ; Lerner, Nicolas
Journées équations aux dérivées partielles, (2010), p. 1-23 / Harvested from Numdam
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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.

Publié le : 2010-01-01
DOI : https://doi.org/10.5802/jedp.70 
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     author = {Le Rousseau, J\'er\^ome and Lerner, Nicolas},
     title = {Carleman estimates for elliptic operators with jumps at an interface: Anisotropic case and sharp geometric conditions},
     journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     year = {2010},
     pages = {1-23},
     doi = {10.5802/jedp.70},
     language = {en},
     url = {http://dml.mathdoc.fr/item/JEDP_2010____A13_0}
}

Le Rousseau, Jérôme; Lerner, Nicolas. Carleman estimates for elliptic operators with jumps at an interface: Anisotropic case and sharp geometric conditions. Journées équations aux dérivées partielles,  (2010), pp. 1-23. doi : 10.5802/jedp.70. http://gdmltest.u-ga.fr/item/JEDP_2010____A13_0/

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