Global Solutions of Nonlinear Schrodinger Equations

Released on by Jean Bourgain
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  • Global Solutions of Nonlinear Schrodinger Equations Book Detail

  • Author : Jean Bourgain
  • Release Date : 1999
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 193
  • ISBN 13 : 0821819194
  • File Size : 36,36 MB
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Global Solutions of Nonlinear Schrodinger Equations by Jean Bourgain PDF Summary

Book 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 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.

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The Nonlinear Schrödinger Equation

The Nonlinear Schrödinger Equation

File Size : 32,32 MB
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This book is an interdisciplinary introduction to optical collapse of laser beams, which is modelled by singular (blow-up) solutions of the nonlinear Schröding