ENGLISH

Global Solutions of Nonlinear Schrodinger Equations

By J. Bourgain

Book information

Publisher
American Mathematical Society
Year
1999
ISBN
9780821819197, 0821819194
Open Library ID
OL11419865M
Language
english
Format
DJVU
Filesize
3 MB (3304660 bytes)
Series
Colloquium Publications (Amer Mathematical Soc)
Pages
94\94
Library
avaxhome.ws
Time added
2010-05-31 15:29:46

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.

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