Logarithmic stability estimates for a Robin coefficient in the two dimensional Stokes problem

Details Logarithmic stability estimates for a Robin coefficient in the two dimensional Stokes problem Logarithmic stability estimates for a Robin coefficient in the two dimensional Stokes problem

2012-02-06

arxiv.org/abs/1202.1263v1

Mathematics

Analysis of PDEs

Scientific paper

In this paper, we consider the Stokes equations and we are concerned with the inverse problem of identifying a Robin coefficient on some non accessible part of the boundary from available data on the other part of the boundary. We first study the identifiability of the Robin coefficient and then we establish a stability estimate of logarithm type thanks to a Carleman inequality due to Bukhgeim.

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