Abstract
In this paper, we consider the Moore–Gibson–Thompson equation with a memory term in the subcritical case, which arises in high-frequency ultrasound applications accounting for thermal flux and molecular relaxation times. For a class of relaxation functions satisfying for H to be increasing and convex function near the origin and to be a nonincreasing function, we establish the optimal explicit and general energy decay result, from which we can recover the earlier exponential rate in the special case.
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Acknowledgments
The authors are grateful to the anonymous referees and the editor for their useful remarks and comments.
Disclosure statement
No potential conflict of interest was reported by the authors.