Global Solutions of Nonlinear Schrodinger Equations

Első borító
American Mathematical Soc., 1999 - 182 oldal
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.
 

Tartalomjegyzék

Cover
Title page
Contents
Introduction and summary
An overview of results on the Cauchy problem for NLS
Further comments
3D H1critical defocusing NLS
Global wellposedness below energy norm
Nonlinear Schrödinger equation with periodic boundary conditions
Appendix 1 Growth of Sobolev norms in linear Schrödinger equations with smooth time dependent potential
Appendix 2 Zakharov systems
References
Index
Back Cover
Copyright

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