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- Publisher
- Springer Journals
- Copyright
- Copyright © 2005 by Springer
- Subject
- Mathematics; Mathematics, general; Computer Science, general; Theoretical, Mathematical and Computational Physics; Complex Systems; Classical Mechanics
- ISSN
- 0167-8019
- eISSN
- 1572-9036
- DOI
- 10.1007/s10440-005-1160-y
- Publisher site
- See Article on Publisher Site
Abstract
In this paper we study rigorous spectral theory and solvability for both the direct and inverse problems of the Dirac operator associated with the nonlinear Schrödinger equation. We review known results and techniques, as well as incorporating new ones, in a comprehensive, unified framework. We identify functional spaces in which both direct and inverse problems are well posed, have a unique solution and the corresponding direct and inverse maps are one to one.
Journal
Acta Applicandae Mathematicae – Springer Journals
Published: Jan 25, 2005