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Cambridge Tracts in Mathematics : Defocusing Nonlinear Schroedinger Equations Series Number 217 - Benjamin Dodson

Cambridge Tracts in Mathematics

Defocusing Nonlinear Schroedinger Equations Series Number 217

Hardcover Published: 16th May 2019
ISBN: 9781108472081
Number Of Pages: 254

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This study of Schroedinger 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 Schroedinger equations for those with a background in harmonic analysis, functional analysis, and partial differential equations.

ISBN: 9781108472081
ISBN-10: 1108472087
Series: Cambridge Tracts in Mathematics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 254
Published: 16th May 2019
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 23.5 x 15.88  x 1.91
Weight (kg): 0.45

Earn 474 Qantas Points
on this Book