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• W2005938067 abstract "The main purpose of this work is to establish some logarithmic estimates of optimal type in the Hardy-Sobolev space H k,∞; k ∈ ℤ* of an annular domain. These results are considered as a continuation of a previous study in the setting of the unit disk by L.Baratchart and M. Zerner, On the recovery of functions from pointwise boundary values in a Hardy-Sobolev class of the disk, J. Comput. Appl. Math. 46 (1993), 255–269 and by S.Chaabane and I. Feki, Optimal logarithmic estimates in Hardy-Sobolev spaces H k,∞, C. R., Math., Acad. Sci. Paris 347 (2009), 1001–1006. As an application, we prove a logarithmic stability result for the inverse problem of identifying a Robin parameter on a part of the boundary of an annular domain starting from its behavior on the complementary boundary part." @default.
• W2005938067 created "2016-06-24" @default.
• W2005938067 creator A5038612887 @default.
• W2005938067 date "2013-06-01" @default.
• W2005938067 modified "2023-10-14" @default.
• W2005938067 title "Estimates in the Hardy-Sobolev space of the annulus and stability result" @default.
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• W2005938067 doi "https://doi.org/10.1007/s10587-013-0032-2" @default.
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