MAT247 — USM

Teaching Assistant for MAT247 — Partial Differential Equations. Responsibilities included leading problem sessions and grading homework and exams.

MAT247 — Partial Differential Equations

A standard introductory graduate-level course on linear partial differential equations, following L. C. Evans, Partial Differential Equations.

Topics: classical solutions and representation formulas for the Laplace, heat, and wave equations; fundamental solutions and Green’s functions; weak derivatives and Sobolev spaces; the Lax–Milgram theorem and existence of weak solutions for elliptic boundary value problems; the maximum principle; eigenvalue theory for elliptic operators; regularity of weak solutions.