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Global Solutions of Nonlinear Schrödinger Equations (Colloquium Publications (Amer Mathematical Soc))

Name: Global Solutions of Nonlinear Schrödinger Equations (Colloquium Publications (Amer Mathematical Soc))
ISBN: 9780821819197

Jean Bourgain

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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.

კატეგორია:

Physics

წელი:

1999

გამომცემლობა:

American Mathematical Society

ენა:

english

გვერდები:

182

ISBN 10:

0821819194