Subject |
Harmonic analysis.
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Differential equations, Nonlinear.
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Mathematical analysis.
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Alt Name |
Wang, Baoxiang (Professor of mathematics)
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Huo, Zhaohui.
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Guo, Zihua.
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Hao, Chengchun.
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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.) |
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9789814360746 (electronic bk.) |
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1283433990 |
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9781283433990 |
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9789814360739 |
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9814360732 |
OCLC # |
773799256 |
Additional Format |
Print version: 9789814360739 9814360732 |
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