Energy-and Regularity-Dependent Stability Estimates for Near-Field Inverse Scattering in Multidimensions

被引：4
|
作者：
Isaev, M. I. [1 ]
机构：
[1] Ecole Polytech, Ctr Math Appl, F-91128 Palaiseau, France
来源：
JOURNAL OF MATHEMATICS | 2013年 / 2013卷
关键词：
D O I：
10.1155/2013/318154
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove new global Holder-logarithmic stability estimates for the near-field inverse scattering problem in dimension d >= 3 Our estimates are given in uniform norm for coefficient difference and related stability efficiently increases with increasing energy and/or coefficient regularity. In addition, a global logarithmic stability estimate for this inverse problem in dimension d = 2 is also given.
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页数：10
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