World Scientific
Mathematical analysis
si
MATHEMATICS--Infinity
Hao
Chengchun
Chengchun Hao
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Harmonic analysis
(Unlimited Concurrent Users)
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9789814360746
9814360740
2017-07-08
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Huo
Zhaohui
Zhaohui Huo
9781283433990
1283433990
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Guo
Zihua
Zihua Guo
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Wang
Baoxiang
Baoxiang Wang
Hackensack, NJ
An electronic book accessible through the World Wide Web; click to view
Singapore
Differential equations, Nonlinear
2011
773799256
Electronic books
Harmonic analysis method for nonlinear evolution equations, I
773799256
2011
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 SchrÃ¶dinger equations -- 8. Boltzmann equation without angular cutoff.
This monograph provides a comprehensive overview on a class of nonlinear evolution equations, such as nonlinear SchrÃ¶dinger 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.
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