Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Defocusing Nonlinear Schrödinger Equations

Defocusing Nonlinear Schrödinger Equations

Dodson, Benjamin

Hardcover

Series: Cambridge Tracts in Mathematics, Book 217

General MathematicsPhysics

ISBN10: 1108472087
ISBN13: 9781108472081
Publisher: Cambridge University Press
Published: Mar 28 2019
Pages: 254
Weight: 1.00
Height: 0.70 Width: 9.00 Depth: 9.30
Language: English
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.

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