Final project

The project reports can be downloaded here.

Cole-Hopf transformation - David Bilodeau
Asymptotics - Julian Self
Hamilton-Jacobi equations - Joshua Lackman
Decomposition theorem for harmonic functions - Ibrahim Al Balushi
Double layer potential method for the Laplace equation - Jocelyn Pellerin
Existence arguments by finite differences - Olivier Mercier
Sobolev spaces through the Bessel potential - Mario Palasciano
Malgrange-Ehrenpreis theorem - Olga Iacovlenco
Poisson equation on closed manifolds - Andrew MacDougall
Uniformization theorem - Sébastien Picard
Elements of Hodge theory - Yang Guo