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    Defocusing Nonlinear Schrödinger Equations

    Posted By: interes
    Date: 5 Jan 2020 22:34:23
    Defocusing Nonlinear Schrödinger Equations

    Defocusing Nonlinear Schrödinger Equations (Cambridge Tracts in Mathematics Book 217) by Benjamin Dodson
    English | 2019 | ISBN: 1108472087 | 254 pages | PDF | 1,7 MB

    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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