Abstract
We prove sharp logarithmic estimates of optimal type in the Hardy–Sobolev spaces H k , ∞ ( k ∈ N ∗ ), thus extending earlier cases. These estimations are used in particular to establish logarithmic stability results for the Cauchy problem and the inverse problem of the identification of Robin's coefficient by boundary measurements. To cite this article: S. Chaabane, I. Feki, C. R. Acad. Sci. Paris, Ser. I 347 (2009).
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