Remarks on the linear wave equation
Analysis of PDEs
2023-09-15 v2 Functional Analysis
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.
Keywords
Cite
@article{arxiv.2307.16880,
title = {Remarks on the linear wave equation},
author = {John M. Ball},
journal= {arXiv preprint arXiv:2307.16880},
year = {2023}
}
Comments
Some changes to section on growth of L^2 norm, plus minor corrections. To appear in Quarterly of Applied Mathematics