Well-posedness and Stability for a Moore-Gibson-Thompson Equation with Internal Distributed Delay
DOI:
https://doi.org/10.5890/DNC.2021.12.009Abstract
In this work, we consider the Moore-Gibson-Thompson equation with distributed delay. We prove, under an appropriate assumptions and a smallness conditions on the parameters $\alpha $, $\beta$, $\gamma$ and $\mu$, that this problem is well-posed and then by introducing suitable energy and Lyapunov functionals, the solution of \eqref{p1} and \eqref{p2} decays to zero as $t$ tends to infinity.References
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