Carleman estimates for anisotropic elliptic operators with jumps at an interface

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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Additional Info

Field Value
Source Anal. PDE
Author Le Rousseau, Jérôme, Lerner, Nicolas
Maintainer CCSD
Last Updated May 11, 2026, 12:23 (UTC)
Created May 11, 2026, 12:23 (UTC)
Identifier hal-00546869
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Mathématiques - Analyse, Probabilités, Modélisation - Orléans (MAPMO) ; Université d'Orléans (UO)-Centre National de la Recherche Scientifique (CNRS)
creator Le Rousseau, Jérôme
date 2013-05-11T00:00:00
harvest_object_id 0c69529a-83d4-43a5-b2ef-ccad7c2a21cf
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2024-07-16T00:00:00
relation info:eu-repo/semantics/altIdentifier/doi/10.2140/apde.2013.6.1601
set_spec type:ART