Harmonic Analysis Method for Nonlinear Evolution Equations, I - Couverture rigide

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

 
9789814360739: Harmonic Analysis Method for Nonlinear Evolution Equations, I

Synopsis

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

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Présentation de l'éditeur

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

Revue de presse

The book under review is well and clearly written and pleasant to read. It is aimed at advanced graduate students; hence, familiarity with basic topics in measure theory, real analysis, complex analysis, functional analysis, etc., is assumed on the part of the reader. Those mathematicians who wish to learn harmonic analysis methods used in PDEs, and who wish to enter into this active area of research, will surely find this book interesting. The book also contains a reasonably large bibliography. --Mathematical Reviews

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