Well-posedness and long time behavior for a general class of Moore-Gibson-Thompson equations with a memory
Summary: We consider the well-posedness and the long time behavior of the Moore-Gibson-Thompson equation with memory in the critical case. We first find general sufficient conditions that guarantee a (optimal) polynomial decay of the system. Then by comparing the behavior of the resolvent of the Moore-Gibson-Thompson system with the one of the resolvent of the wave equation with a frictional interior damping, we furnish a stronger polynomial decay of the solution.
scientific article; zbMATH DE number 7478510
scientific article