MATH 673
Partial Differential Equations I
Analysis of boundary value problems for Laplace's equation, initial value problems for the heat and wave equations. Fundamental solutions, maximum principles, energy methods. First order nonlinear PDE, conservation laws. Characteristics, shock formation, weak solutions. Distributions, Fourier transform.
Prerequisites & course information
Cross-listed with: AMSC673 . Credit Only Granted for: AMSC673 or MATH673 . Additional Information: Students must have prior coursework similar to the content offered in undergraduate course MATH411 .
Sources
- Course catalogue ↗2026-2027