Description

Book Synopsis
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 equations is systematically studied by using the harmonic analysis methods.This book is self-contained and may also be used as an advanced textbook by graduate students in analysis and PDE subjects and even ambitious undergraduate students.

Table of Contents
Fourier Multiplier, Function Spaces; Navier-Stokes Equation; Strichartz Estimates for Linear Dispersive Equations; Local and Global Wellposedness for Nonlinear Dispersive Equations; The Low Regularity Theory for the Nonlinear Dispersive Equations; Frequency-Uniform Decomposition Method; Conservations, Morawetz' Inequalities of NLS; Boltzmann Equation without Angular Cutoff.

Harmonic Analysis Method For Nonlinear Evolution

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    A Hardback by Baoxiang Wang, Zihua Guo, Zhaohui Huo

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      Publisher: World Scientific Publishing Co Pte Ltd
      Publication Date: Publication Date: 16/08/2011
      ISBN13: 9789814360739, 978-9814360739
      ISBN10: 9814360732
      Also in:
      Mathematics Differential calculus and equations

      Description

      Book Synopsis
      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 equations is systematically studied by using the harmonic analysis methods.This book is self-contained and may also be used as an advanced textbook by graduate students in analysis and PDE subjects and even ambitious undergraduate students.

      Table of Contents
      Fourier Multiplier, Function Spaces; Navier-Stokes Equation; Strichartz Estimates for Linear Dispersive Equations; Local and Global Wellposedness for Nonlinear Dispersive Equations; The Low Regularity Theory for the Nonlinear Dispersive Equations; Frequency-Uniform Decomposition Method; Conservations, Morawetz' Inequalities of NLS; Boltzmann Equation without Angular Cutoff.

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