Reconstructing The Moore-Gibson-Thompson Equation
Waled Al‐KhulaifiDepartment of Mathematics and Statistics , King Fahd University of Petroleum and Minerals , Dhahran 31261 , Saudi ArabiaAmin BoumenirDepartment of Mathematics , UWG , Carrollton, GA 30118, USA
2020en
ABI
Abstract
Abstract We are concerned with the inverse problem of recovering a third order Moore-Gibson-Thompson equation from a single observation of its solution at an arbitrary point. We show how to reconstruct its three unknown parameters and the memory kernel by using the Laplace transform.
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