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Defocusing Nonlinear Schrödinger Equations

Gebonden Engels 2019 9781108472081
€ 154,62
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Samenvatting

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.

Specificaties

ISBN13:9781108472081
Taal:Engels
Bindwijze:Gebonden
Aantal pagina's:254

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Inhoudsopgave

Preface; 1. A first look at the mass-critical problem; 2. The cubic NLS in dimensions three and four; 3. The energy-critical problem in higher dimensions; 4. The mass-critical NLS problem in higher dimensions; 5. Low dimensional well-posedness results; References; Index.

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€ 154,62
Levertijd ongeveer 9 werkdagen
Gratis verzonden

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        Defocusing Nonlinear Schrödinger Equations