Stability of the solution to 3D fixed-energy inverse scattering problem
نویسندگان
چکیده
منابع مشابه
Stability of the numerical method of solving the 3D inverse scattering problem with fixed- energy data
Let IA,(B’B) A(@’, @)I < 6, where 6 > 0 is a small given number, A(@’ , 8 ) is the unknown scattering amplitude at a fixed k > 0 corresponding to a potential q(x)EL2(Bu), q(x) = q(x), q(x) = 0 in a,:= R’\B,, Bo:= {x: 1x1 < a } , @ ‘ , B E S 2 , the unit sphere. Functions qa(x) are constructed, given S z 0 and the function A,(@’ ,@) , such that 11% q/IL2(B,) 4 0 as 6 4 0. The function A,(B’, 0) ...
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A review of the author’s results is given. Inversion formulas and stability results for the solutions to 3D inverse scattering problems with fixed energy data are obtained. Inversion of exact and noisy data is considered. The inverse potential scattering problem with fixed-energy scattering data is discussed in detail, inversion formulas for the exact and for noisy data are derived, error estim...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1992
ISSN: 0022-247X
DOI: 10.1016/0022-247x(92)90002-u