| Description |
1 online resource (xiv, 283 pages) : illustrations |
|
text file |
| Bibliography |
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. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Harmonic analysis.
|
|
Harmonic analysis. |
|
Differential equations, Nonlinear.
|
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Differential equations, Nonlinear. |
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Mathematical analysis.
|
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Mathematical analysis. |
| Genre/Form |
Electronic books.
|
|
Electronic books.
|
| Added Author |
Wang, Baoxiang (Professor of mathematics)
|
|
Huo, Zhaohui.
|
|
Guo, Zihua.
|
|
Hao, Chengchun.
|
| Other Form: |
Print version: 9789814360739 9814360732 |
| ISBN |
9814360740 (electronic book) |
|
9789814360746 (electronic book) |
|
9789814360739 |
|
9814360732 |
|
1283433990 |
|
9781283433990 |
|
