General information

Homework assignments

Problems 1 2 3
Solutions 1 2 3

Lecture notes

Part 1 Explicit methods
20/1 Introduction and terminology
21/1 Separation of variables and characteristics
27/1 Characteristics: Quasilinear case
28/1 Characteristics: Fully nonlinear case
Part 2 Analysis of PDE
3/2 Second-order linear equations
4/2 Extended maximum principle
10/2 Comparison principle
11/2 A priori estimates
17/2 Wave equation
18/2 Energy functions
24/2 Blow-up theorems
25/2 Nonlinear waves
Part 3 Calculus of variations
9/3 Euler-Lagrange equation
10/3 Some standard examples
16/3 Variational problems
23/3 Isoperimetric constraints
24/3 Necessary conditions
30/3 Sufficient condition
31/3 Noether's theorem