Teaching Partial Differential Equations Lecture 3 Laplace's Equation Jan 1, 2021 · 1 min read Summary This lecture introduces Laplace’s equation $$ \Delta u = 0 \quad \text{in}~ \mathbb{R}^n $$ and gives a construction of its fundamental solution. Full Set of Lecture Notes The notes for this lecture are available here (15 pages). Last updated on Jan 1, 2021 Authors Deniz Bilman Assistant Professor ← Transport Equation Jan 1, 2021 Poisson's Equation Jan 1, 2021 →