Spectral and Scattering Theory for Second Order Partial Differential Operators PDF Download

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Spectral and Scattering Theory for Second Order Partial Differential Operators

Spectral and Scattering Theory for Second Order Partial Differential Operators PDF Author: Kiyoshi Mochizuki
Publisher: CRC Press
ISBN: 1351648942
Category : Mathematics
Languages : en
Pages : 131

Book Description
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.