THE INVERSE SCATTERING AT FIXED ENERGIES IN 2 DIMENSIONS

Authors
ISAKOV V SUN ZQ
Citation
V. Isakov et Zq. Sun, THE INVERSE SCATTERING AT FIXED ENERGIES IN 2 DIMENSIONS, Indiana University mathematics journal, 44(3), 1995, pp. 883-896
Citations number
16
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Indiana University mathematics journal → ACNP
ISSN journal
00222518
Volume
44
Issue
3
Year of publication
1995
Pages
883 - 896
Database
ISI
SICI code
0022-2518(1995)44:3<883:TISAFE>2.0.ZU;2-R
Abstract
We study the formally determined inverse problem of recovering a poten tial from knowledge of the associated scattering amplitude at fixed en ergies in two dimensions. We show that it is always possible to recove r uniquely the potential when the scattering amplitude is given at fin itely many energies.