Defocusing Nonlinear Schrodinger Equations
Benjamin Dodson
This study of Schrödinger 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 Schrödinger equations for those with a background in harmonic analysis, functional analysis, and partial differential equations.
카테고리:
년:
2019
출판사:
Cambridge University Press
언어:
english
페이지:
255
ISBN 10:
1108472087
ISBN 13:
9781108472081
시리즈:
Cambridge Tracts in Mathematics 217
파일:
PDF, 1.74 MB
IPFS:
,
english, 2019