New global stability estimates for monochromatic inverse acoustic scattering

M. I. Isaev; R. G. Novikov

doi:10.1137/120897833

New global stability estimates for monochromatic inverse acoustic scattering

M. I. Isaev
, R. G. Novikov

Ecole polytechnique
Moscow Institute of Physics and Technology
IEPT RAS

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We give new global stability estimates for monochromatic inverse acoustic scattering. These estimates essentially improve estimates of [P. H?ahner, T. Hohage, SIAM J. Math. Anal., 33 (2001), pp. 670-685] and can be considered as a solution of an open problem formulated in the aforementioned work.

langue originale	Anglais
Pages (de - à)	1495-1504
Nombre de pages	10
journal	SIAM Journal on Mathematical Analysis
Volume	45
Numéro de publication	3
Les DOIs	https://doi.org/10.1137/120897833
état	Publié - 4 oct. 2013

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10.1137/120897833

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title = "New global stability estimates for monochromatic inverse acoustic scattering",

abstract = "We give new global stability estimates for monochromatic inverse acoustic scattering. These estimates essentially improve estimates of [P. H?ahner, T. Hohage, SIAM J. Math. Anal., 33 (2001), pp. 670-685] and can be considered as a solution of an open problem formulated in the aforementioned work.",

keywords = "Ill-posed problems, Inverse acoustic scattering, Logarithmic stability",

author = "Isaev, \{M. I.\} and Novikov, \{R. G.\}",

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AU - Novikov, R. G.

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N2 - We give new global stability estimates for monochromatic inverse acoustic scattering. These estimates essentially improve estimates of [P. H?ahner, T. Hohage, SIAM J. Math. Anal., 33 (2001), pp. 670-685] and can be considered as a solution of an open problem formulated in the aforementioned work.

AB - We give new global stability estimates for monochromatic inverse acoustic scattering. These estimates essentially improve estimates of [P. H?ahner, T. Hohage, SIAM J. Math. Anal., 33 (2001), pp. 670-685] and can be considered as a solution of an open problem formulated in the aforementioned work.

KW - Ill-posed problems

KW - Inverse acoustic scattering

KW - Logarithmic stability

UR - https://www.scopus.com/pages/publications/84884808425

U2 - 10.1137/120897833

DO - 10.1137/120897833

M3 - Article

AN - SCOPUS:84884808425

SN - 0036-1410

VL - 45

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JO - SIAM Journal on Mathematical Analysis

JF - SIAM Journal on Mathematical Analysis

IS - 3

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New global stability estimates for monochromatic inverse acoustic scattering

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