Introduction to PDE
This is the home page of Math. 522/APC 522, in Fine 214, TTh 1:30 - 2:50 pm.
Below you will find announcements and additional material in pdf, posted as the semester progresses.
First order equations
Harmonic functions, second order elliptic equations I
Spaces of functions
Maximum principles, Harnack inequality for classical solutions
Schauder estimates
Boundedness, Harnack inequality and Holder continuity for weak solutions
The wave equation
Schrodinger equation
Systems of conservation laws
Hamilton-Jacobi Equations
Higher order hyperbolic equations
Littlewood-Paley decomposition