Lecture 6.3: Dirichlet BVP for Laplace equation - Green's function and Poisson's formula
Channel: IIT Bombay July 2018
Date: 24/09/2021

The notion of Green's function for Laplace equation is introduced whereby a solution for a Dirichlet problem for Laplace on a domain may be obtained. This representation is called Poisson's formula. With the help of Poisson's formula, we shall prove two far-reaching properties of harmonic functions, namely, Harnack's inequality and Liouville's Theorem.