Partial Differential Equations (Master in Mathematics 2025-26)

Here you have the notes for the course:

• Chapter 1: Overview and preliminaries

• Chapter 2: Laplace equation and eigenfunctions

• Chapter 3: Nonlinear elliptic PDE and the Calculus of Variations

• Chapter 4: Linear evolutionary PDE

• Chapter 5: Nonlinear parabolic PDE and the Navier-Stokes equations

Here you have the Evaluation guidelines for the course:

• Evaluation and Syllabus

Here you have the Problem set for each Chapter of the course:

• Problem set 1 (due on September 30th)

• Problem set 2 (due on October 21st)

• Problem set 3 (due on November 7th)

• Problem set 4 (due on November 25nd)

• Problem set 5 (due on December 12th)

Here you have a (very) introductory nice video about PDE:

• Video 3B1B