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Well-posedness and general decay for Moore–Gibson–Thompson equation in viscoelasticity with delay term

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The problem of Moore–Gibson–Thompson equation with infinite memory and time delay terms is considered. Under suitable Lyapunov functionals with an appropriate assumptions on the kernel function and on the weight… Click to show full abstract

The problem of Moore–Gibson–Thompson equation with infinite memory and time delay terms is considered. Under suitable Lyapunov functionals with an appropriate assumptions on the kernel function and on the weight of the delay, we prove the well-posedness and the exponential stability of the system.

Keywords: gibson thompson; well posedness; moore gibson; thompson equation

Journal Title: Ricerche Di Matematica
Year Published: 2021

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