TOPICS IN PARTIAL DIFFERENTIAL EQUATIONS
MWF 12-1 pm Room:MS 5217
Office:MS 6917, Office hours: M,W 3:30 - 4:30
Course Outline
1. Pseudodifferentials operators.
2. The Cauchy problem for parabolic and hyperbolic equations.
3. Boundary value problems and parametrices for the elliptic equations.
4. Heat trace expansion.
5. Fourier Integral Operators and applications to the propagation of singularities of solutions of hyperbolic equation.