Mathematics & Statistics (Sci) : Classification and wellposedness of linear and nonlinear partial differential equations; energy methods; Dirichlet principle. Brief introduction to distributions; weak derivatives. Fundamental solutions and Green's functions for Poisson equation, regularity, harmonic functions, maximum principle. Representation formulae for solutions of heat and wave equations, Duhamel's principle. Method of Characteristics, scalar conservation laws, shocks.
Terms: Fall 2021
Instructors: Lin, Jessica (Fall)
Prerequisites: MATH 475 or equivalent