MATH 580 — Advanced Partial Differential Equations 1

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.

• Rating: 5.00 out of 5 from 19 student reviews
• Difficulty: 5.00 out of 5
• Credits: 4
• Faculty: Faculty of Science
• Department: Mathematics and Statistics
• Taught by: Niky Kamran
• Prerequisites: MATH 475 or equivalent

Sections offered

• Section 001 (Lec), Tue Thu 10:05-11:25 am — 11 seats open