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

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	1495-1504
Number of pages	10
Journal	SIAM Journal on Mathematical Analysis
Volume	45
Issue number	3
DOIs	https://doi.org/10.1137/120897833
Publication status	Published - 4 Oct 2013

Keywords

Ill-posed problems
Inverse acoustic scattering
Logarithmic stability

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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.",

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AU - Novikov, R. G.

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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

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DO - 10.1137/120897833

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JO - SIAM Journal on Mathematical Analysis

JF - SIAM Journal on Mathematical Analysis

IS - 3

ER -

New global stability estimates for monochromatic inverse acoustic scattering

Abstract

Keywords

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