Partial Differential Equations
Class Description
Credit: 4 Credits (3-1-0)
Instructor: K. Sreenadh
Course Contents:
First order Equations: Method of Characteristics, general solution, weak solutions, R-H condition
Series methods: Cauchy problems, Cauchy-Kowalevski theorem
Elliptic equations: Potential theory, hamonic functions, maximum principles, Perrons method
Parabolic equations: Maximum principles, fundamental solutions, Duhamel's principle, energy methods
Wave Equations: One dimential wave equations, solutions in even and odd dimensions
Lecture Notes