M541 | TBA | Tba

M540-M541 Partial Differential Equations I-II (3-3 cr.) P: M441-M442 or equivalent. Introduction to distributions, Sobolev spaces, and Fourier transforms; elliptic equations, Hilbert space theory, potential theory, maximum principle; parabolic equations and systems, characteristics, representations of solutions, energy methods; appplications and examples.