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.
en
Harmonic analysis
Singapore
Ebook Central Academic Complete
Huo
Zhaohui
Zhaohui Huo
Mathematical analysis
Hackensack, NJ
Print version:
si
Connect to Proquest e-book
9781283433990
1283433990
Hao
Chengchun
Chengchun Hao
9789814360746
9814360740
2018-03-16
World Scientific
Differential equations, Nonlinear
Guo
Zihua
Zihua Guo
Wang
Baoxiang
Baoxiang Wang
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MATHEMATICS--Infinity