About this product

Product Identifiers

PublisherAmerican Mathematical Society

ISBN-100821819194

ISBN-139780821819197

eBay Product ID (ePID)633594

Product Key Features

Number of Pages182 Pages

Publication NameGlobal Solutions of Nonlinear Schrodinger Equations

LanguageEnglish

SubjectDifferential Equations / General, Differential Equations / Partial, Geometry / Algebraic

Publication Year1999

TypeTextbook

AuthorAmerican Mathem American Mathem

Subject AreaMathematics

SeriesColloquium Publications

FormatHardcover

Dimensions

Item Height0.7 in

Item Weight21.7 Oz

Item Length10.3 in

Item Width7.3 in

Additional Product Features

Intended AudienceScholarly & Professional

LCCN99-013066

Dewey Edition21

Series Volume Number46

IllustratedYes

Dewey Decimal515/.353

Table Of ContentIntroduction and summary; An overview of results on the Cauchy problem for NLS; Further comments; 3D $H^1$-critical defocusing NLS; Global wellposedness below energy norm; Nonlinear Schrodinger equation with periodic boundary conditions; Growth of Sobolev norms in linear Schrodinger equations with smooth time dependent potential; Zakharov systems; References; Index.

SynopsisThis volume presents recent progress in the theory of nonlinear dispersive equations, primarily the nonlinear Schrodinger (NLS) equation. The Cauchy problem for defocusing NLS with critical nonlinearity is discussed. New techniques and results are described on global existence and properties of solutions with large Cauchy data. Current research in harmonic analysis around Strichartz's inequalities and its relevance to nonlinear PDE is presented. Several topics in NLS theory on bounded domains are reviewed. Using the NLS as an example, the book offers comprehensive insight on current research related to dispersive equations and Hamiltonian PDEs., This volume presents recent progress in the theory of nonlinear dispersive equations, primarily the nonlinear Schrödinger (NLS) equation. The Cauchy problem for defocusing NLS with critical nonlinearity is discussed. New techniques and results are described on global existence and properties of solutions with Large Cauchy data. Current research in harmonic analysis around Strichartz's inequalities and its relevance to nonlinear PDE is presented. Several topics in NLS theory on bounded domains are reviewed. Using the NLS as an example, the book offers comprehensive insight on current research related to dispersive equations and Hamiltonian PDEs., This volume presents recent progress in the theory of nonlinear dispersive equations, primarily the nonlinear Schrodinger (NLS) equation. The Cauchy problem for defocusing NLS with critical nonlinearity is discussed. New techniques and results are described on global existence and properties of solutions with Large Cauchy data. Current research in harmonic analysis around Strichartz's inequalities and its relevance to nonlinear PDE is presented and several topics in NLS theory on bounded domains are reviewed. Using the NLS as an example, the book offers comprehensive insight on current research related to dispersive equations and Hamiltonian PDEs., Presents the progress in the theory of nonlinear dispersive equations, primarily the nonlinear Schrodinger (NLS) equation. This title discusses the Cauchy problem for defocusing NLS with critical nonlinearity. It also describes various techniques and results on global existence and properties of solutions with large Cauchy data.

LC Classification NumberQC174.26.W28B68 1999