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.