RECOVERING SINGULARITIES OF A POTENTIAL FROM SINGULARITIES OF SCATTERING DATA

Authors
GREENLEAF A UHLMANN G
Citation
A. Greenleaf et G. Uhlmann, RECOVERING SINGULARITIES OF A POTENTIAL FROM SINGULARITIES OF SCATTERING DATA, Communications in Mathematical Physics, 157(3), 1993, pp. 549-572
Citations number
20
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Communications in Mathematical Physics → ACNP
ISSN journal
00103616
Volume
157
Issue
3
Year of publication
1993
Pages
549 - 572
Database
ISI
SICI code
0010-3616(1993)157:3<549:RSOAPF>2.0.ZU;2-S
Abstract
In this paper we show that the leading singularities of certain potent ials can be determined from the leading singularities of the backscatt ering (as well as other determined sets of scattering data). The poten tials in question are conormal with respect to smooth surfaces of arbi trary dimension; the restrictions on their orders allow for unbounded potentials in all dimension greater than or equal to three.