Harmonic analysis method for nonlinear evolution equations, I / Baoxiang Wang ... [et al.].

Format:

Book

Author/Creator:

Wang, Baoxiang.

Language:

English

Subjects (All):

Harmonic analysis.

Differential equations, Nonlinear.

Mathematical analysis.

Physical Description:

1 online resource (298 p.)

Edition:

1st ed.

Place of Publication:

Singapore ; Hackensack, N.J. : World Scientific Pub. Co., c2011.

Language Note:

English

Summary:

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.

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.

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

9786613433992

9781283433990

1283433990

9789814360746

9814360740

OCLC:

877767902