On Inverse Scattering at a Fixed Energy for Potentials with a Regular Behaviour at Infinity
Weder, Ricardo ; Yafaev, Dimitri
arXiv, 0508020 / Harvested from arXiv
Text on arXiv
We study the inverse scattering problem for electric potentials and magnetic fields in $\ere^d, d\geq 3$, that are asymptotic sums of homogeneous terms at infinity. The main result is that all these terms can be uniquely reconstructed from the singularities in the forward direction of the scattering amplitude at some positive energy.
Publié le : 2005-08-09
Classification:  Mathematical Physics,  Mathematics - Analysis of PDEs,  81U40, 35P25, 35Q40, 35R30 
@article{0508020,
     author = {Weder, Ricardo and Yafaev, Dimitri},
     title = {On Inverse Scattering at a Fixed Energy for Potentials with a Regular
  Behaviour at Infinity},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0508020}
}

Weder, Ricardo; Yafaev, Dimitri. On Inverse Scattering at a Fixed Energy for Potentials with a Regular
  Behaviour at Infinity. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0508020/