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Title Harmonic analysis method for nonlinear evolution equations, I / Baoxiang Wang, Zhaohui Huo, Chengchun Hao, Zihua Guo.
Imprint Singapore ; Hackensack, NJ : World Scientific, [2011]

Subject Harmonic analysis.
Differential equations, Nonlinear.
Mathematical analysis.
Alt Name Wang, Baoxiang (Professor of mathematics)
Huo, Zhaohui.
Guo, Zihua.
Hao, Chengchun.
Description 1 online resource (xiv, 283 pages) : illustrations
Bibliography Note Includes bibliographical references (pages 269-280) and index.
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.
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.
ISBN 9814360740 (electronic bk.)
9789814360746 (electronic bk.)
OCLC # 773799256
Additional Format Print version: 9789814360739 9814360732

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