Inverse Scattering in Classical Mechanics

In [17], using a special norm for the scattering amplitude f , it was shown that the stability estimates for Problem 1.1 follow from the Alessandrini stability estimates of [1] for

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

The first aim of this paper is to establish Lipschitz stability results for the inverse scattering problem of determining the low-frequency component (lower than the

Given data from multiple experiments with multiple ˆ e directions, we are better able to find the full three- dimensional coordinates of an obstacle or set of obstacles.. As

These methods are based on a rational approximation of the Jost matrix (and hence of the scattering matrix), considered either as a func- tion of the complex angular

We finish this introduction by pointing out that our method of obtaining groups of the type PSL 2 ( F  n ) or PGL 2 ( F  n ) as Galois groups over Q via newforms is very general: if

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 +

In general, on a surface with genus g and N Euclidean ends, we can use the Riemann-Roch theorem to construct holomorphic functions with linear or quadratic growth in the ends,