Course overview

Students are familiar with Ordinary Differential Equations (ODEs) where functions of one variable are involved. In Partial Differential Equations (PDEs) the focus is on functions of several variables. PDEs are ubiquitous in Engineering and Sciences. PDEs are necessary to study the most relevant phenomena in Physics, Engineering, Chemistry, Biology and Economics.

We study qualitative properties of solutions. The focus is on regularity topics in PDEs. Necessary tools are Distribution Theory and Sobolev spaces.

Interested students may go deeper through optional lab after the exam. Info