This monograph provides a comprehensive overview on a class of
nonlinear evolution equations, such as nonlinear Schrdinger
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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