Well-posedness and long time behavior for a general class of Moore-Gibson-Thompson equations with a memory (Q2076570)
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scientific article; zbMATH DE number 7478510
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Well-posedness and long time behavior for a general class of Moore-Gibson-Thompson equations with a memory |
scientific article; zbMATH DE number 7478510 |
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Well-posedness and long time behavior for a general class of Moore-Gibson-Thompson equations with a memory (English)
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22 February 2022
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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.
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Moore-Gibson-Thompson equation
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memory kernel
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polynomial stability
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