By Alexander Komech,Elena Kopylova
ISBN-10: 1118341821
ISBN-13: 9781118341827
A simplified, but rigorous remedy of scattering concept equipment and their applications
Dispersion Decay and Scattering Theory offers thorough, easy-to-understand advice at the program of scattering idea the way to smooth difficulties in arithmetic, quantum physics, and mathematical physics. Introducing spectral equipment with functions to dispersion time-decay and scattering concept, this booklet provides, for the 1st time, the Agmon-Jensen-Kato spectral thought for the Schr?dinger equation, extending the idea to the Klein-Gordon equation. The dispersion decay performs a very important position within the glossy program to asymptotic balance of solitons of nonlinear Schr?dinger and Klein-Gordon equations.
The authors essentially clarify the basic recommendations and formulation of the Schr?dinger operators, speak about the fundamental houses of the Schr?dinger equation, and supply in-depth insurance of Agmon-Jensen-Kato conception of the dispersion decay within the weighted Sobolev norms. The booklet additionally info the appliance of dispersion decay to scattering and spectral theories, the scattering go part, and the weighted power decay for 3D Klein-Gordon and wave equations. entire streamlined proofs for key components of the Agmon-Jensen-Kato process, comparable to the high-energy decay of the resolvent and the proscribing absorption precept also are included.
Dispersion Decay and Scattering Theory is an appropriate ebook for classes on scattering conception, partial differential equations, and useful research on the graduate point. The booklet additionally serves as an exceptional source for researchers, pros, and lecturers within the fields of arithmetic, mathematical physics, and quantum physics who wish to higher comprehend scattering conception and partial differential equations and achieve problem-solving talents in different components, from high-energy physics to wave propagation and hydrodynamics.
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Dispersion Decay and Scattering Theory by Alexander Komech,Elena Kopylova
by Anthony
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