NEW GLOBAL STABILITY ESTIMATES FOR MONOCHROMATIC INVERSE ACOUSTIC SCATTERING

被引：18

作者：

Isaev, M. I. ^{[1
,2
]}

Novikov, R. G. ^{[1
,3
]}

机构：

[1] Ecole Polytech, Ctr Math Appl, F-91128 Palaiseau, France

[2] Moscow Inst Phys & Technol, Dolgoprudnyi 141700, Russia

[3] RAS, Inst Earthquake Predict Theory & Math Geophys, Moscow 117997, Russia

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2013年 / 45卷 / 03期

关键词：

inverse acoustic scattering; logarithmic stability; ill-posed problems;

D O I：

10.1137/120897833

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give new global stability estimates for monochromatic inverse acoustic scattering. These estimates essentially improve estimates of [P. Hahner, 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.

引用

页码：1495 / 1504

页数：10

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