Global solutions of nonlinear Schrödinger equations
Author(s)
Bibliographic Information
Global solutions of nonlinear Schrödinger equations
（Colloquium publications / American Mathematical Society, v. 46）
American Mathematical Society, c1999
Available at / 53 libraries
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
515.353/B6662070472104
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Note
Includes bibliographical references (p. 176-179) and index
Description and Table of Contents
Description
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. 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.
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.
by "Nielsen BookData"