Topics: Distributions and tempered distributions, Schwarz space and Fourier transform, linear operators in Hilbert spaces, interpolation of operators, Sobolev spaces and embeddings, quantum mechanics and the linear Schrodinger equation, wavelets, nonlinear partial differential equations.
Dr. Dmitry Pelinovsky, HH-422, ext.23424,
Lectures: Tuesdays and Thursdays (10:30-12:00); HH-312
Office hours: Tuesdays and Thursdays (12:30-13:30)
Textbook: R.S. Strichartz "A guide to distribution theory and Fourier transforms"
World Scientific, 1994, 978-981-238-421-8
M. Pinsky, "Introduction to Fourier Analysis and Wavelets" (Brooks/Cole Series in Advanced Mathematics), 2002, ISBN 9780534376604
F. Linares, G. Ponce, "Introduction to Nonlinear Dispersive Equations" (Springer, Universitext), 2009, ISBN 9780387848983
Requirements: Five home assignments will be distributed during the classes with specific deadlines. The course is completed by student presentations.
Presentation - 50%
Assignments - 50%