Inverse Sturm-Liouville Problems

Inverse Sturm-Liouville Problems
Author :
Publisher : VSP
Total Pages : 258
Release :
ISBN-10 : 9067640557
ISBN-13 : 9789067640558
Rating : 4/5 (57 Downloads)

Book Synopsis Inverse Sturm-Liouville Problems by : Boris Moiseevič Levitan

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.


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