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Optimal scalar products in the Moore-Gibson-Thompson equation

Optimal scalar products in the Moore-Gibson-Thompson equation

We study the third order in time linear dissipative wave equation known as the Moore-Gibson-Thompson equation, that appears as the linearization of a the Jordan-Moore-Gibson-Thompson equation, an important model in nonlinear acoustics. The same equation also arises in viscoelasticity theory, as a model which is considered more realistic than the …