Inverse Sturm-Liouville Problems
Author | : Boris Moiseevič Levitan |
Publisher | : VSP |
Total Pages | : 258 |
Release | : 1987 |
ISBN-10 | : 9067640557 |
ISBN-13 | : 9789067640558 |
Rating | : 4/5 (57 Downloads) |
Download or read book Inverse Sturm-Liouville Problems written by Boris Moiseevič Levitan and published by VSP. This book was released on 1987 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: The interest in inverse problems of spectral analysis has increased considerably in recent years due to the applications to important non-linear equations in mathematical physics. This monograph is devoted to the detailed theory of inverse problems and methods of their solution for the Sturm-Liouville case. Chapters 1--6 contain proofs which are, in many cases, very different from those known earlier. Chapters 4--6 are devoted to inverse problems of quantum scattering theory with attention being focused on physical applications. Chapters 7--11 are based on the author's recent research on the theory of finite- and infinite-zone potentials. A chapter discussing the applications to the Korteweg--de Vries problem is also included. This monograph is important reading for all researchers in the field of mathematics and physics.