On inverse problems for the multidimensional relativistic Newton equation at fixed energy

[ No5] R.G.Novikov, The inverse scattering problem at fixed energy for the three-dimensional Schr¨ odinger equation with an exponentially decreasing

In the present work, under assumptions (1.2), (1.5), we reduce problems 1.1,1.2 to some global generalized Riemann-Hilbert-Manakov problem for the classical scattering solutions ψ +

On the other hand, in view of the Born rule, from applied point of view, Problems 1.3a, 1.3b and similar phaseless inverse scattering problems are much more important than

Subjects: 35R30 (inverse problems for PDEs), 65N21 (numerical analysis of inverse problems for PDEs), 35P25 (scattering theory), 35J10 (Schr¨ odinger operator), 35Q53

G., Approximate solution of the inverse problem of quantum scattering theory with fixed energy in dimension 2, (Russian) Tr. G., Formulae and equations for finding scattering data

Our estimates are given in uniform norm for coefficient difference and related stability precision efficiently increases with increasing energy and coefficient difference regularity..

We propose an iterative approximate reconstruction algorithm for non- overdetermined inverse scattering at fixed energy E with incomplete data in dimension d ≥ 2... (1.11) In this

In the next section, we propose an interdisciplinary coupling satisfaction method for decoupled UMDO formulations in which the couplings are satisfied for all the instantiations of