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Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

   
 
 

 

Remarks on the linear wave equation


Author: John M. Ball
Journal: Quart. Appl. Math. 82 (2024), 431-448
MSC (2020): Primary 35L05, 47D06; Secondary 42B37
DOI: https://doi.org/10.1090/qam/1678
Published electronically: October 5, 2023
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Abstract | References | Similar Articles | Additional Information

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.


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Additional Information

John M. Ball
Affiliation: Department of Mathematics, Heriot-Watt University, and Maxwell Institute for Mathematical Sciences, Edinburgh, United Kingdom; Hong Kong Institute for Advanced Study, City University of Hong Kong, Kowloon Tong, Hong Kong
MR Author ID: 30065
ORCID: 0000-0003-2496-2020
Email: jb101@hw.ac.uk

Received by editor(s): July 30, 2023
Published electronically: October 5, 2023
Dedicated: Dedicated to Bob Pego in admiration
Article copyright: © Copyright 2023 Brown University