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Carleman estimates for stratified media

Abstract : We consider anisotropic elliptic and parabolic operators in a bounded stratified media in $\R^n$ characterized by discontinuties of the coefficients in one direction. The surfaces of discontinuities cross the boundary of the domain. We prove Carleman estimates for these operators with an arbitrary observation region.
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https://hal.archives-ouvertes.fr/hal-00529924
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Submitted on : Saturday, March 19, 2011 - 11:40:28 AM
Last modification on : Thursday, February 7, 2019 - 3:01:55 PM
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Assia Benabdallah, Yves Dermenjian, Jérôme Le Rousseau. Carleman estimates for stratified media. Journal of Functional Analysis, Elsevier, 2011, 260, pp.3645-3677. ⟨10.1016/j.jfa.2011.02.007⟩. ⟨hal-00529924v2⟩

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