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Journal Articles Mathematical Control and Related Fields Year : 2016

Quantification of the unique continuation property for the nonstationary Stokes problem

Abstract

The purpose of this work is to establish stability estimates for the unique continuation property of the nonstationary Stokes problem. These estimates hold without prescribing boundary conditions and are of logarithmic type. They are obtained thanks to Carleman estimates for parabolic and elliptic equations. Then, these estimates are applied to an inverse problem where we want to identify a Robin coefficient defined on some part of the boundary from measurements available on another part of the boundary.
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Dates and versions

hal-01094490 , version 1 (12-12-2014)

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Muriel Boulakia. Quantification of the unique continuation property for the nonstationary Stokes problem. Mathematical Control and Related Fields, 2016, 6 (1), ⟨10.3934/mcrf.2016.6.27⟩. ⟨hal-01094490⟩
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