Harmonic analysis method for nonlinear evolution equations, I

by Guo, Zihua Hao, Chengchun Huo, Zhaohui Wang, Baoxiang

Type Book

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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 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 …

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Title Statements

Full title :Harmonic analysis method for nonlinear evolution equations, I / Baoxiang Wang, Zhaohui Huo, Chengchun Hao, Zihua Guo.

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.

Edition Statements

Publication Date:©2011.

Publication Statements

Publisher(s):World Scientific
Place of Publication:Singapore
Language:eng
Publication Date:©2011.

The Physical Object

Description:1 online resource (xiv, 283 pages) : : illustrations

Edition Identifiers

ISBN:9814360740, 9789814360746, 1283433990, 9781283433990
oclc:ocn773799256
LC Classification:QA403
Dewey Decimal:515.2433

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.

Subjects

Analyse harmonique Analyse mathématique Differential equations, Nonlinear Équations différentielles non linéaires Fourier analysis Harmonic analysis Mathematical analysis MATHEMATICS -- Infinity