Optimal logarithmic estimates in Hardy–Sobolev spaces

Autor:	Imed Feki, Slim Chaabane
Rok vydání:	2009
Předmět:	Sobolev space Pure mathematics Logarithm Mathematical analysis Initial value problem Boundary (topology) General Medicine Stability result Inverse problem Type (model theory) Mathematics
Zdroj:	Comptes Rendus Mathematique. 347:1001-1006
ISSN:	1631-073X
DOI:	10.1016/j.crma.2009.07.018
Popis:	We prove sharp logarithmic estimates of optimal type in the Hardy–Sobolev spaces Hk,∞ (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).
Databáze:	OpenAIRE
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