Spectral and Scattering Theory for Second Order Partial Differential Operators (Chapman & Hall/CRC Monographs and Research Notes in Mathematics) - Hardcover

Mochizuki, Kiyoshi

Hardcover

ISBN 10: 1498756026 ISBN 13: 9781498756020

Publisher: Chapman and Hall/CRC, 2017

Synopsis

The book is intended for students of graduate and postgraduate level, researchers in mathematical sciences as well as those who want to apply the spectral theory of second order differential operators in exterior domains to their own field. In the first half of this book, the classical results of spectral and scattering theory: the selfadjointness, essential spectrum, absolute continuity of the continuous spectrum, spectral representations, short-range and long-range scattering are summarized. In the second half, recent results: scattering of Schrodinger operators on a star graph, uniform resolvent estimates, smoothing properties and Strichartz estimates, and some applications are discussed.

About this title

About the Author

Kiyoshi Mochizuki is Professor Emeritus and at Tokyo Metropolitan University, Chuo University. He is one of the authorities in spectral transforms and the scattering theory of elliptic operators of second order both on graphs and on exterior domains.

Edition details

• Publisher: Chapman and Hall/CRC
• Publication date: 2017
• Language: English
• ISBN 10: 1498756026
• ISBN 13: 9781498756020
• Binding: Hardcover
• Edition number: 1
• Number of pages: 232