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Spectral and scattering theory for second order partial differential operators 1st Edition by Kiyoshi Mochizuki ISBN 1498756026 978-1498756020

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Spectral and scattering theory for second order partial differential operators 1st Edition Mochizuki Digital Instant Download

Author(s): Mochizuki, Kiyoshi
ISBN(s): 9781498756020, 1498756026
Edition: 1
File Details: PDF, 9.06 MB
Year: 2017
Language: english
SKU: EB-5892094 Category: Tags: ,

Spectral and scattering theory for second order partial differential operators 1st Edition by Kiyoshi Mochizuki  – Ebook PDF Instant Download/Delivery: 1498756026, 978-1498756020
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Product details: 

ISBN 10: 1498756026 

ISBN 13: 978-1498756020

Author: Kiyoshi Mochizuki

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.

Table of contents: 

  1. Second Order Elliptic Differential Operators in L²(Ω)

  2. Spectrum of the Operator L

  3. Growth Estimates of the Generalized Eigenfunctions

  4. Principle of Limiting Absorptions and Absolute Continuity

  5. Examples

  6. Spectral Representations and Scattering for Short-Range Perturbations

  7. Spectral Representations and Scattering for Long-Range Perturbations

  8. One-Dimensional Schrödinger Operator

  9. Uniform Resolvent Estimates

  10. Smoothing and Strichartz Estimates

  11. Several Topics for Evolution Equations

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Tags: Kiyoshi Mochizuki, Spectral and scattering, second order, differential operators