By Alexander Komech,Elena Kopylova
A simplified, but rigorous therapy of scattering concept tools and their applications
Dispersion Decay and Scattering Theory presents thorough, easy-to-understand suggestions at the software of scattering conception how you can smooth difficulties in arithmetic, quantum physics, and mathematical physics. Introducing spectral equipment with functions to dispersion time-decay and scattering concept, this publication provides, for the 1st time, the Agmon-Jensen-Kato spectral concept for the Schr?dinger equation, extending the idea to the Klein-Gordon equation. The dispersion decay performs a vital position within the sleek program to asymptotic balance of solitons of nonlinear Schr?dinger and Klein-Gordon equations.
The authors truly clarify the elemental strategies and formulation of the Schr?dinger operators, talk about the elemental houses of the Schr?dinger equation, and supply in-depth assurance of Agmon-Jensen-Kato idea of the dispersion decay within the weighted Sobolev norms. The ebook additionally info the appliance of dispersion decay to scattering and spectral theories, the scattering move part, and the weighted power decay for 3D Klein-Gordon and wave equations. whole streamlined proofs for key components of the Agmon-Jensen-Kato technique, comparable to the high-energy decay of the resolvent and the proscribing absorption precept also are included.
Dispersion Decay and Scattering Theory is an acceptable e-book for classes on scattering thought, partial differential equations, and practical research on the graduate point. The e-book additionally serves as an exceptional source for researchers, pros, and teachers within the fields of arithmetic, mathematical physics, and quantum physics who wish to higher comprehend scattering thought and partial differential equations and achieve problem-solving abilities in different parts, from high-energy physics to wave propagation and hydrodynamics.
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Additional info for Dispersion Decay and Scattering Theory
Dispersion Decay and Scattering Theory by Alexander Komech,Elena Kopylova