Introduction to Nonlinear Dispersive PDE, Fall 2016.
Course content:
This is an introductory course on Nonlinear Dispersive PDE.
This course is primarily given to Bachelor's and Master's students in Mathematics. Prerequisites for the class are Analysis I-III. Prior knowledge of Fourier transform techniques is helpful, but not necessary, as the course is planned to be self-contained.
Lecture Notes:
Lecture Notes 1: Preliminaries. Tools from Harmonic Analysis..
Lecture Notes 2: Linear theory..
Lecture Notes 3: Nonlinear theory..
Assignments:
Homework Assignment 1.
Homework Assignment 2.
Homework Assignment 3.