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.
వర్గాలు:
సంవత్సరం:
2019
ప్రచురణకర్త:
Cambridge University Press
భాష:
english
పేజీల సంఖ్య:
255
ISBN 10:
1108472087
ISBN 13:
9781108472081
పుస్తక శ్రేణి:
Cambridge Tracts in Mathematics 217
ఫైల్:
PDF, 1.74 MB
IPFS:
,
english, 2019
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