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.

Spectral and Scattering Theory for Second Order Partial Differential Operators

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Hardback by Kiyoshi Mochizuki

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The book is intended for students of graduate and postgraduate level, researchers in mathematical sciences as well as those who... Read more

    Publisher: Taylor & Francis Inc
    Publication Date: 24/04/2017
    ISBN13: 9781498756020, 978-1498756020
    ISBN10: 1498756026

    Number of Pages: 232

    Non Fiction , Mathematics & Science , Education

    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.

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