By Alexander Komech,Elena Kopylova
A simplified, but rigorous remedy of scattering concept tools and their applications
Dispersion Decay and Scattering Theory offers thorough, easy-to-understand suggestions at the software of scattering idea the way to sleek difficulties in arithmetic, quantum physics, and mathematical physics. Introducing spectral equipment with purposes to dispersion time-decay and scattering idea, this publication offers, 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 smooth program to asymptotic balance of solitons of nonlinear Schr?dinger and Klein-Gordon equations.
The authors in actual fact clarify the elemental recommendations and formulation of the Schr?dinger operators, talk about the fundamental homes of the Schr?dinger equation, and provide in-depth insurance of Agmon-Jensen-Kato idea of the dispersion decay within the weighted Sobolev norms. The publication additionally info the appliance of dispersion decay to scattering and spectral theories, the scattering go part, and the weighted strength decay for 3D Klein-Gordon and wave equations. whole streamlined proofs for key components of the Agmon-Jensen-Kato strategy, similar to the high-energy decay of the resolvent and the restricting 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 a good source for researchers, pros, and lecturers within the fields of arithmetic, mathematical physics, and quantum physics who want to higher comprehend scattering idea and partial differential equations and achieve problem-solving abilities in varied components, from high-energy physics to wave propagation and hydrodynamics.
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