Defocusing Nonlinear Schringer Equations (Hardcover) (ISBN-13: 9781108472081)

This study of Schr dinger equations with power-type nonlinearity provides a great deal of insight into other dispersive partial differential equations and geometric partial differential equations. It presents important proofs, using tools from harmonic analysis, microlocal analysis, functional analysis, and topology. This includes a new proof of Keel-Tao endpoint Strichartz estimates, and a new proof of Bourgain's result for radial, energy-critical NLS. It also provides a detailed presentation of scattering results for energy-critical and mass-critical equations. This book is suitable as the basis for a one-semester course, and serves as a useful introduction to nonlinear Schr dinger equations for those with a background in harmonic analysis, functional analysis, and partial differential equations.

Author: Benjamin Dodson
ISBN-10: 1108472087
ISBN-13: 9781108472081
Publisher: Cambridge University Press
Language: English
Published: 03/28/2019
Pages: 254
Format: Hardcover
Weight: 1.00lbs
Size: 9.30h x 9.00w x 0.70d