Article
Well posedness and exponential stability in a wave equation with a strong damping and a strong delay
Abstract
In this paper, we consider a wave equation with a strong damping and a strong constant (respectively, distributed) delay. We prove the well-posedness and establish an exponential decay result under a suitable assumption on the weight of the damping and the weight of the delay.
Details
| Original language | English |
|---|---|
| Journal | Journal of Mathematical Physics |
| Volume | 57 |
| Issue number | 11 |
| Publisher | American Institute of Physics |
| ISSN | 0022-2488 · 1089-7658 |
| DOI | 10.1063/1.4966551 |
| Publication status | Published — 1 November 2016 |
Keywords
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- Stability and Controllability of Differential Equations
- Differential Equations and Boundary Problems
- Advanced Mathematical Physics Problems
- wave equation
- strong damping
- distributed delay
- well-posedness
- exponential stability
- exponential decay
- Control and Systems Engineering
- Applied Mathematics
- Mathematical Physics
- Engineering
- Mathematics