33
Views
9
CrossRef citations to date
0
Altmetric
Original Articles

Method With Nonzero Background Potential. Application to Inverse Scattering for the

Pages 597-618 | Published online: 09 Apr 2012
 

Abstract

We generalize a number of formulas of the method for the Schrōdinger equation to the case of nonzero backqround potential. As a corollary we have found the following reciprocity property ot the Faddeev function h: Where h is a non—analytic extension of the scattering amplitude to the complex domain. As an application we prove the uniqueness theorem and give a reconstruction procedure in the inverse scattering problem for the two—dimensional acoustic equation.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.