In this paper we study the Inverse Scattering Problems in both deterministic and random media. Since the problems are nonlinear, the methods for their linearization (the Born approximation) have been developed. However, such an approach often does not produce good results. In our method, the ...
Multidimensional inverse scattering problems 来自 IEEEXplore 喜欢 0 阅读量: 60 作者: AG Ramm 摘要: Summary form only given, as follows. An overview of the author's results is given. The inverse problems for obstacle, geophysical and potential scattering are considered. The basic method for ...
A method is given for proving uniqueness theorems for some inverse problems. The method is based on a result on completeness of the products of solutions to PDE. As an example, the following uniqueness theorems are proved: (1) the scattering amplitude A( θ′, θ, k) known for all θ′...
papertheemphasisisontheideasandformulationoftheresults. Theinverseproblemsweconsiderare:inversepotential,geophysicalandob- staclescattering(IPS,IGS,IOS).Werecallthestatementsoftheseproblems. Let [V2+k2-q(x)]u=0inlR3, k=const>0 (I.1) k)exp(ikr) (1) u=exp(ika,x)+A(aI,a,~ r +o , X ...
Multidimensional inverse scattering in an electric field - Weder - 1996 () Citation Context ...proof of Theorem 1.1. The time-dependent approach is quite flexible. It has been applied to many inverse scattering problems. In [8], [9] to N-body systems with singular and long-range potentials...
Based on the Enss–Weder time-dependent method, we study one of the multidimensional inverse scattering problems for quantum systems in an external electric field asymptotically zero in time as E0(1 + |t|)μ with 0 < μ < 1, where E0 is a non-zero constant electric field. We show that...
Over the recent past data-driven algorithms for solving stochastic optimal control problems in face of model uncertainty have become an increasingly active area of research. However, for singular controls and underlying diffusion dynamics the analysis has so far been restricted to the scalar case. In...
A. Jollivet, Inverse scattering at high energies for the multidimen- sional Newton equation in a long range potential, to appear in Asympt. Anal., preprint 2013, ArXiv:1306.3638.Jollivet, A.: Inverse scattering at high energies for the multidimensional Newton equation in a long range ...
Multiscale, Statistical Anomaly Detection Analysis and Algorithms for Linearized Inverse Scattering Problems Multidimensional Systems and Signal Processing, 8, 151-184. http://dx.doi.org/10.1023/A:1008277108555E. L. Miller and A. S. Willsky, ``Multiscale,... EL Miller,AS Willsky - 《Multidimensi...
Dimension lowering in finite-dimensional extremal problems §1.1. The Poincaré reduction §1.2. The generalized Poincaré... IS Yu - 《Russian Mathematical Surveys》 被引量: 30发表: 1996年 Large wave number aperture-limited Fourier inversion and inverse scattering Aperture-limited Fourier operators ...