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
收藏
页码：1495 / 1504
页数：10
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