Students who are interested in attending the Summer Institute but feel that they need some preparation might consider read the following references.
S. Alinhac and P. Gérard: Pseudo-differential operators and Nash-Moser theorem. Higher Education Press, 2009.
C.Miao: Modern Methods of Nonlinear Wave Equation. Monographs on Modern pure mathematics, No.133. (Second Edition) , Science Press, Beijing, 2010.
C. Miao, J. Wu, and Z. Zhang: Littlewood-Paley Theory and Applications to the Equations of Hydrodynamics. Monographs on Modern Pure Mathematics, No.142. Science Press, Beijing.
H. Bahouri, J.-Y. Chemin, and R. Danchin: Fourier analysis and nonlinear partial differential equations. Grundlehren der mathematischen Wissenschaften, A series of Comprehensieve studies in mathematics, Vol 343. Springer-Verlag Berlin Heidelberg, 2011.
T. Cazenave: Semilinear Schrödinger equations. Courant Lecture Notes in Mathematics, 10, American Mathematical Society, 2003.
J.-Y. Chemin: Perfect Incompressible Fluids. Oxford Lecture Series in Mathematics and its applications, Vol. 14, The Clarrendon Press Oxford University Press, New York, 1998. Translated from the 1995 French original by Isabelle Gallagher and Dragos Iftimie.
C. D. Sogge: Lectures on nonlinear wave equations. second edition, International Press, Cambridge, 2008.
T. Tao: Nonlinear dispersive equations, local and global analysis. CBMS. Regional conference Series in Mathematics, 106. Published for the Conference Board of the Mathematical Science, Washington, DC; by the American Mathematical Society Providence, RI, 2006.