Reconstructing The Moore-Gibson-Thompson Equation

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.

Keywords

• moore-gibson-thompson equation
• inverse problem
• memory
• third order pde
• 35r30
• 35q70
• 35l05
• 35l35