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- W2015145667 abstract "We prove a logarithmic estimate in the Hardy-Sobolev space $H^{k, 2}$, $k$ a positive integer, of the unit disk ${mathbb D}$. This estimate extends those previously established by L. Baratchart and M. Zerner in $H^{1,2}$ and by S. Chaabane and I. Feki in $H^{k,infty}$. We use it to derive logarithmic stability results for the inverse problem of identifying Robin's coefficients in corrosion detection by electrostatic boundary measurements and for a recovery interpolation scheme in the Hardy-Sobolev space $H^{k, 2}$ with interpolation points located on the boundary ${mathbb T}$ of the unit disk." @default.
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- W2015145667 date "2012-05-21" @default.
- W2015145667 modified "2023-09-25" @default.
- W2015145667 title "Optimal logarithmic estimates in the Hardy-Sobolev space of the disk and stability results" @default.
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