Skip Navigation

International Mathematics Research Papers (2005) 2005:287-349, doi:10.1155/IMRP.2005.287
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Right arrow How to cite this article
Google Scholar
Right arrow Articles by Novikov, R. G.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

Copyright © 2005 Hindawi Publishing Corporation. All rights reserved.

The Formula-approach to approximate inverse scattering at fixed energy in three dimensions

R. G. Novikov

We develop the Formula-approach to inverse scattering at fixed energy in dimensions d≥3 of Beals and Coifman (1984) and Henkin and Novikov (1987). As a result, we propose a stable method for nonlinear approximate finding a potential Formula from its scattering amplitude f at fixed energy E > 0 in dimension d = 3. In particular, in three dimensions, we stably reconstruct n-times smooth potential v with sufficient decay at infinity, n > 3, from its scattering amplitude f at fixed energy E up to Formula in the uniform norm as E-> +{infty} for any fixed arbitrary small {varepsilon} > 0 (i.e., with almost the same decay rate of the error for E-> +{infty} as in the linearized case near zero potential).


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer: Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.