Energy Methods for the Wave Equation

Jan 1, 2021 · 1 min read

Summary

We introduce the energy for the wave equation and cover

  • Uniqueness
  • Domain of dependence
  • Finite speed of propagation

for solutions.

This lecture concludes the treatment of four important linear PDEs: the transport equation, Laplace’s equation, the heat equation, and the wave equation.

Full Set of Lecture Notes

The notes for this lecture are available here (10 pages).