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Solution of Linear Damped Wave Equation on Triebel–Lizorkin Spaces.

Authors :
Wang, Meizhong
Chen, Jiecheng
Fan, Dashan
Zhao, Junyan
Source :
Bulletin of the Malaysian Mathematical Sciences Society. Sep2024, Vol. 47 Issue 5, p1-29. 29p.
Publication Year :
2024

Abstract

In this article we study the solution u(t, x) of the Cauchy problem of linear damped wave equation. We obtain the sufficient and necessary condition of the boundedness of the solution u(t, x) on the Triebel–Lizorkin space at a fixed time t. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
01266705
Volume :
47
Issue :
5
Database :
Academic Search Index
Journal :
Bulletin of the Malaysian Mathematical Sciences Society
Publication Type :
Academic Journal
Accession number :
178868593
Full Text :
https://doi.org/10.1007/s40840-024-01751-y