Lecture 5.7: Qualitative analysis of Wave equation - Propagation of waves
Channel: IIT Bombay July 2018
Date: 2021-09-18

In this lecture, we study propagation properties of the wave equation. This includes propagation of compact support, and propagation of singularities or discontinuities of Cauchy data by the wave equation. We also look at the decay of solutions in time. The qualitative behaviour varies across dimensions.