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Science/Engineering Global Solutions of Nonlinear Schrodinger Equations

Posted on 2010-03-15




Name:Science/Engineering Global Solutions of Nonlinear Schrodinger Equations
ASIN/ISBN:0821819194
Language:English
File size:1.4 Mb
ISBN: 0821819194
Publish Date: May 1999
Pages: 182 pages
File Size: 3304 KB
Other Info: American Mathematical Society; djvu (ocr)
   Science/Engineering Global Solutions of Nonlinear Schrodinger Equations

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Global Solutions of Nonlinear Schrodinger Equations (Colloquium Publications (Amer Mathematical Soc)): Jean Bourgain

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.

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