Abstract
We consider the following abstract version of the Moore–Gibson–Thompson (MGT) equation: [Formula: see text] depending on the parameters [Formula: see text] [Formula: see text] [Formula: see text] and [Formula: see text] is a convex and nonnegative memory kernel. The related energy has been shown to decay exponentially by Boulaaras et al., Math. Meth. Appl. Sci. 42 (2019) 2664–2679; Lasiecka et al., Z. Angew. Math. Phys. 67 (2016) 17. Here, in this original work, the solvability of the abstract version of nonlocal mixed boundary value problem for the MGT equation via Galerkin’s method is discussed.
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