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Dispersion decay and scattering theory

Komech, Alexander.

Dispersion decay and scattering theory

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Dispersion decay and scattering theoryAlexander Komech, Elena Kopylova.
作者:	Komech, Alexander.
其他作者:	Kopylova, Elena,
出版者:	Hoboken, N.J. :Wiley,2012.
面頁冊數:	1 online resource (xxvi, 175 p.) :ill.
標題:	Klein-Gordon equation.
電子資源:	http://onlinelibrary.wiley.com/book/10.1002/9781118382868
ISBN:	9781118382899 (electronic bk.)

Dispersion decay and scattering theory
Komech, Alexander.

Dispersion decay and scattering theory[electronic resource] /Alexander Komech, Elena Kopylova. - Hoboken, N.J. :Wiley,2012. - 1 online resource (xxvi, 175 p.) :ill.

Includes bibliographical references and index.

Front Matter -- Basic Concepts and Formulas -- Nonstationary Schr̲dinger Equation -- Stationary Schr̲dinger Equation -- Spectral Theory -- High Energy Decay of Resolvent -- Limiting Absorption Principle -- Dispersion Decay -- Scattering Theory and Spectral Resolution -- Scattering Cross Section -- Klein-Gordon Equation -- Wave Equation -- References -- Index.

"Dispersion Decay and Scattering Theory provides thorough, easy-to-understand guidance on the application of scattering theory methods to modern problems in mathematics, quantum physics, and mathematical physics. Introducing spectral methods with applications to dispersion time-decay and scattering theory, this book presents, for the first time, the Agmon-Jensen-Kato spectral theory for the Schr?dinger equation, extending the theory to the Klein-Gordon equation. The dispersion decay plays a crucial role in the modern application to asymptotic stability of solitons of nonlinear Schr?dinger and Klein-Gordon equations. The authors clearly explain the fundamental concepts and formulas of the Schr?dinger operators, discuss the basic properties of the Schr?dinger equation, and offer in-depth coverage of Agmon-Jensen-Kato theory of the dispersion decay in the weighted Sobolev norms. The book also details the application of dispersion decay to scattering and spectral theories, the scattering cross section, and the weighted energy decay for 3D Klein-Gordon and wave equations. Complete streamlined proofs for key areas of the Agmon-Jensen-Kato approach, such as the high-energy decay of the resolvent and the limiting absorption principle are also included. Dispersion Decay and Scattering Theory is a suitable book for courses on scattering theory, partial differential equations, and functional analysis at the graduate level. The book also serves as an excellent resource for researchers, professionals, and academics in the fields of mathematics, mathematical physics, and quantum physics who would like to better understand scattering theory and partial differential equations and gain problem-solving skills in diverse areas, from high-energy physics to wave propagation and hydrodynamics."--

ISBN: 9781118382899 (electronic bk.)Subjects--Topical Terms:

722478
Klein-Gordon equation.

LC Class. No.: QC174.26.W28 / K646 2012eb

Dewey Class. No.: 530.12/4

Dispersion decay and scattering theory
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020 $a 1118382897 (electronic bk.)
020 $a 9781118382868 (electronic bk.)
020 $a 1118382862 (electronic bk.)
020 $a 9781282165267 (MyiLibrary)
020 $a 1282165267 (MyiLibrary)
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050 4 $a QC174.26.W28 $b K646 2012eb
082 0 4 $a 530.12/4 $2 23
100 1 $a Komech, Alexander. $3 376871
245 1 0 $a Dispersion decay and scattering theory $h [electronic resource] / $c Alexander Komech, Elena Kopylova.
260 $a Hoboken, N.J. : $b Wiley, $c 2012.
300 $a 1 online resource (xxvi, 175 p.) : $b ill.
504 $a Includes bibliographical references and index.
505 0 $a Front Matter -- Basic Concepts and Formulas -- Nonstationary Schr̲dinger Equation -- Stationary Schr̲dinger Equation -- Spectral Theory -- High Energy Decay of Resolvent -- Limiting Absorption Principle -- Dispersion Decay -- Scattering Theory and Spectral Resolution -- Scattering Cross Section -- Klein-Gordon Equation -- Wave Equation -- References -- Index.
520 $a "Dispersion Decay and Scattering Theory provides thorough, easy-to-understand guidance on the application of scattering theory methods to modern problems in mathematics, quantum physics, and mathematical physics. Introducing spectral methods with applications to dispersion time-decay and scattering theory, this book presents, for the first time, the Agmon-Jensen-Kato spectral theory for the Schr?dinger equation, extending the theory to the Klein-Gordon equation. The dispersion decay plays a crucial role in the modern application to asymptotic stability of solitons of nonlinear Schr?dinger and Klein-Gordon equations. The authors clearly explain the fundamental concepts and formulas of the Schr?dinger operators, discuss the basic properties of the Schr?dinger equation, and offer in-depth coverage of Agmon-Jensen-Kato theory of the dispersion decay in the weighted Sobolev norms. The book also details the application of dispersion decay to scattering and spectral theories, the scattering cross section, and the weighted energy decay for 3D Klein-Gordon and wave equations. Complete streamlined proofs for key areas of the Agmon-Jensen-Kato approach, such as the high-energy decay of the resolvent and the limiting absorption principle are also included. Dispersion Decay and Scattering Theory is a suitable book for courses on scattering theory, partial differential equations, and functional analysis at the graduate level. The book also serves as an excellent resource for researchers, professionals, and academics in the fields of mathematics, mathematical physics, and quantum physics who would like to better understand scattering theory and partial differential equations and gain problem-solving skills in diverse areas, from high-energy physics to wave propagation and hydrodynamics."-- $c Provided by publisher.
588 $a Description based on print version record.
650 0 $a Klein-Gordon equation. $3 722478
650 0 $a Spectral theory (Mathematics) $3 182365
650 0 $a Scattering (Mathematics) $3 210809
700 1 $a Kopylova, Elena, $d 1960- $3 722477
856 4 0 $u http://onlinelibrary.wiley.com/book/10.1002/9781118382868