منابع مشابه
Multidimensional Inverse Scattering with Fixed-Energy Data
1 Introduction In this lecture the author reviews his results on multidimensional inverse scattering. References to the works of other authors can be found in [20]. Five topics are briefly discussed:-1) property C with constraints and new type of the uniqueness theorems for inverse scattering,-2) inversion of noisy discrete fixed-energy 3D scattering data and error estimates,-3) variational pri...
متن کاملInverse scattering with fixed - energy data ∗
The Newton-Sabatier method for solving inverse scattering problem with fixed-energy phase shifts for a sperically symmetric potential is discussed. It is shown that this method is fundamentally wrong in the sense that its foundations are wrong: in general it cannot be carried through because its basic integral equation may be not solvable for some r > 0 and in this case the method breaks down; ...
متن کاملFixed-energy inverse scattering
The author’s method for solving inverse scattering problem with fixed-energy data is described. Its comparison with the method based on the D-N map is given. A new inversion procedure is formulated. c © 2008 Elsevier Ltd. All rights reserved. MSC: 35R30; 47H17; 65M30; 81U05 PACS: 03.80.+r.; 03.65.Nk
متن کاملInverse scattering problem with fixed energy and fixed incident direction
Let A q (α ′ , α, k) be the scattering amplitude, corresponding to a local potential q(x), x ∈ R 3 , q(x) = 0 for |x| > a, where a > 0 is a fixed number, α ′ , α ∈ S 2 are unit vectors, S 2 is the unit sphere in R 3 , α is the direction of the incident wave, k 2 > 0 is the energy. We prove that given an arbitrary function f (α ′) ∈ L 2 (S 2), an arbitrary fixed α 0 ∈ S 2 , an arbitrary fixed k ...
متن کاملInverse scattering problem with data at fixed energy and fixed incident direction
Let Aq (α, α, k) be the scattering amplitude, corresponding to a local potential q(x), x ∈ R3, q(x) = 0 for |x | > a, where a > 0 is an arbitrary large fixed number, α, α ∈ S2 are unit vectors, S2 is the unit sphere in R3, α is the direction of the incident wave, k2 > 0 is the energy. We prove that given an arbitrary function f (α) ∈ L2(S2), an arbitrary fixed α0 ∈ S 2, an arbitrary fixed k > 0...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 1992
ISSN: 0893-9659
DOI: 10.1016/0893-9659(92)90089-r