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