Spectral and Scattering Theory for Second Order Partial Differential Operators
Nonfiction, Science & Nature, Mathematics, Functional Analysis, Differential Equations, Arithmetic
| Author: | Kiyoshi Mochizuki | ISBN: | 9781351648943 |
| Publisher: | CRC Press | Publication: | June 1, 2017 |
| Imprint: | Chapman and Hall/CRC | Language: | English |
| Author: | Kiyoshi Mochizuki |
| ISBN: | 9781351648943 |
| Publisher: | CRC Press |
| Publication: | June 1, 2017 |
| Imprint: | Chapman and Hall/CRC |
| Language: | English |
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.
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.
