Energy Decay Estimates for the Wave Equation With Logarithmic Feedback
ABSTRACT In this paper, a semilinear wave equation with logarithmic feedback is considered. The polynomial decay of the energy is obtained. The method of proof is based on multipliers technique, on a integral inequality, and on some special algebraic inequalities. The results complement those of the literature about logarithmic damping, and it seem to be an interesting problem in the unknown land of weak damping mechanics.
Authors
- Chenxia Zhang
- Donghao Li (ORCID: https://orcid.org/0000-0001-5400-7847)
- Hongwei Zhang (ORCID: https://orcid.org/0000-0002-0898-7765)
Institutions
- Henan University of Technology (CN)
- Shanghai University of International Business and Economics (CN)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2025-03-01
- DOI
- https://doi.org/10.1002/mma.10871
- Citations
- 6
- Primary Topic
- Stability and Controllability of Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 7.29
Funders
- National Natural Science Foundation of China