Lecture 5.6: Qualitative analysis of Wave equation - Generalized solutions to Wave equation
Channel: IIT Bombay July 2018
Date: 2021-09-18

In this lecture, a more general notion of solution for wave equation called weak solution is introduced and it is shown how known representations of solutions such as d'Alembert formula, Poisson-Kirchhoff formula, parallelogram identity may be interpreted as weak solutions of wave equation. This notion allows us to weaken the smoothness requirements on Cauchy data so that more physically relevant data may be considered.