Spectral and Scattering Theory for Second Order Partial Differential Operators

Nonfiction, Science & Nature, Mathematics, Functional Analysis, Differential Equations, Arithmetic
Cover of the book Spectral and Scattering Theory for Second Order Partial Differential Operators by Kiyoshi Mochizuki, CRC Press
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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.

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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.

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