Description

Book Synopsis
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.

Table of Contents
Introduction 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.

Global Solutions of Nonlinear Schrodinger

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    A Hardback by American Mathem American Mathem

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      View other formats and editions of Global Solutions of Nonlinear Schrodinger by American Mathem American Mathem

      Publisher: MP-AMM American Mathematical
      Publication Date: 6/30/1999 12:00:00 AM
      ISBN13: 9780821819197, 978-0821819197
      ISBN10: 0821819194

      Description

      Book Synopsis
      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.

      Table of Contents
      Introduction 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.

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