Spectral and Scattering Theory for Second Order Partial Differential Operators
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A01=Kiyoshi Mochizuki
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Approximate Phase
Author_Kiyoshi Mochizuki
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Compact Hypersurface
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Dirichlet Boundary Condition
elliptic operators
Endpoint Estimate
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Essential Spectrum
evolution equations
Exterior Domain
Friedrichs Extension
functional analysis
Generalized Eigenfunctions
Hardy Inequality
Kato's Theorem
Kato’s Theorem
Klein Gordon Equation
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Long Range Case
Long Range Perturbations
Non-linear Evolution Equations
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Partial Differential Operators
Perturbed Equations
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quantum graphs
Radiative Solution
Schwarz Inequality
Self-adjoint Operator
Self-adjoint Realization
selfadjoint operator theory applications
Singular Sequence
smoothing properties
softlaunch
spectral measure
Strichartz estimates
time dependent coefficients
Uniform Operator Topology
uniform resolvent estimates
Unique Continuation Property
wave equations
Product details
- ISBN 9781498756020
- Weight: 496g
- Dimensions: 156 x 234mm
- Publication Date: 24 Apr 2017
- Publisher: Taylor & Francis Inc
- Publication City/Country: US
- Product Form: Hardback
- Language: English
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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.
Kiyoshi Mochizuki is Professor Emeritus and at Tokyo Metropolitan University, Chuo University. He is one of the authorities in spectral transforms and the scattering theory of elliptic operators of second order both on graphs and on exterior domains.
