• Math 580
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Final project

• 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

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