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• W2953354579 abstract "The main purpose of this work is to establish some logarithmic estimates of optimal type in the Hardy-Sobolev space $H^{k, infty}; k in {mathbb{N}}^*$ 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.Apll.Math 46(1993), 255-69 and by S. Chaabane and I. Feki: Logarithmic stability estimates in Hardy-Sobolev spaces $H^{k,infty}$. C.R. Acad. Sci. Paris, Ser. I 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.
• W2953354579 created "2019-06-27" @default.
• W2953354579 creator A5038612887 @default.
• W2953354579 date "2012-07-09" @default.
• W2953354579 modified "2023-09-27" @default.
• W2953354579 title "Estimates in the Hardy-Sobolev space of the annulus and stability result" @default.
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