Spectral and Scattering Theory for Ordinary Differential Equations by Christer Bennewitz

Spectral and Scattering Theory for Ordinary Differential Equations by Christer Bennewitz

This graduate textbook offers an introduction to the spectral theory of ordinary differential equations, focusing on SturmLiouville equations.SturmLiouville theory has applications in partial differential equations and mathematical physics.

The book is written in a fresh and fluent style, always starting with informal explanations before proceeding to precisely formulated definitions and theoremsProofs are well structured and detailed without being pedantic. Each chapter has notes sketching the historical development, pointing to other approaches or indicating wider aspects. Exercises are added to each paragraph and even to some of the appendices. It provides lecturers of courses on ODEs or functional analysis with new material to demonstrate to students . (Hubert Kalf, zbMATH 1468.34001, 2021)

Christer Bennewitz is Emeritus Professor of Mathematics at Lund University. He previously worked at the University of Addis Abeba in Ethiopia, at Uppsala University in Sweden and at the University of Alabama at Birmingham in the US. His work is in the field of spectral theory for ordinary differential equations, in the last 25 years or so concentrating on inverse theory for problems not accessible to the Gelfand–Levitan theory.

Malcolm Brown is Professor of Computational Mathematics at Cardiff University. His work is focused on using both analytic and computational tools to get a better understanding of problems in the spectral theory of differential operators. Recently he has become interested in inverse problems, especially inverse spectral problems, and in questions of uniqueness and recovery that involve the Dirichlet-to-Neumann map.

Rudi Weikard is Professor of Mathematics at the University of Alabama at Birmingham. His recent work has been concentrated on inverse spectral and scattering theory for ordinary differential equations, for example, inverse resonance problems and Dirichlet-to-Neumann maps for quantum graphs. Previously he worked on analytic properties of the KdV hierarchy and the asymptotic behavior of large quantum systems.

SKU	Nicht verfügbar
ISBN 13	9783030590871
ISBN 10	3030590879
Titel	Spectral and Scattering Theory for Ordinary Differential Equations
Autor	Christer Bennewitz
Serie	Universitext
Buchzustand	Nicht verfügbar
Bindungsart	Paperback
Verlag	Springer Nature Switzerland AG
Erscheinungsjahr	2020-10-28
Seitenanzahl	379
Hinweis auf dem Einband	Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.
Hinweis	Nicht verfügbar