
 
Math 567: Some References

T. Tao, Nonlinear Dispersive Equations (2006)
 a thorough introduction to the modern mathematical theory of
nonlinear waves. This is the text most closely aligned with this
course, especially Chs. 13, though in places it hits levels
of depth and sophistication that we will not.

G. Whitham, Linear and Nonlinear Waves (1974)
 a classical 'applied' text. Part II covers many of the basic
notions for linear and nonlinear dipsersive PDE.

W. Strauss, Nonlinear Wave Equations (1989)
 a short, efficient overview of the mathematical stateoftheart
at the time.

C. Sulem, P.L. Sulem, The Nonlinear Schroedinger Equation (1999)

G. Fibich, The Nonlinear Schroedinger Equation (2015)
 these books cover many aspects of NLS, both analysis and applications

T. Cazenave, Semilinear Schroedinger Equations (2003)
 full gory details of analysis of NLS

Analysis background: there are many standard texts, including
 G. Folland, Real Analysis: Modern Techniques and their
Applications

PDE background: again there are many standard texts, including
 W. Strauss, Partial Differential Equations
(undergraduate level)
 L. Evans, Partial Differential Equations
(graudate level)
