Harmonic analysis method for nonlinear evolution equations, I /

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This monograph provides a comprehensive overview on a class of nonlinear evolution equations, such as nonlinear Schrödinger equations, nonlinear Klein-Gordon equations, KdV equations as well as Navier-Stokes equations and Boltzmann equations. The global wellposedness to the Cauchy problem for those...

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Bibliographic Details
Call Number:Libro Electrónico
Other Authors: Wang, Baoxiang, Huo, Zhaohui, Guo, Zihua, Hao, Chengchun
Format: Electronic eBook
Language:Inglés
Published: Singapore ; Hackensack, NJ : World Scientific, ©2011.
Subjects:
Harmonic analysis.
Differential equations, Nonlinear.
Mathematical analysis.
Fourier Analysis
Analyse harmonique.
Équations différentielles non linéaires.
Analyse mathématique.
MATHEMATICS > Infinity.
Online Access:Texto completo
Table of Contents:
  • 1. Fourier multiplier, function space X [superscript]s [subscript]p, q
  • 2. Navier-Stokes equation
  • 3. Strichartz estimates for linear dispersive equations
  • 4. Local and global wellposedness for nonlinear dispersive equations
  • 5. The low regularity theory for the nonlinear dispersive equations
  • 6. Frequency-uniform decomposition techniques
  • 7. Conservations, Morawetz' estimates of nonlinear Schrödinger equations
  • 8. Boltzmann equation without angular cutoff.

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