paper

Remarks on the linear wave equation

arXiv:2307.16880

Abstract

We make some remarks on the linear wave equation concerning the existence and uniqueness of weak solutions, satisfaction of the energy equation, growth properties of solutions, the passage from bounded to unbounded domains, and reconciliation of different representations of solutions.

Some changes to section on growth of L^2 norm, plus minor corrections. To appear in Quarterly of Applied Mathematics

Remarks on the linear wave equation · wovepaper