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arXiv · 2001.07673

An inverse problem for Moore-Gibson-Thompson equation arising in high intensity ultrasound

Rogelio Arancibia·Rodrigo Lecaros·Alberto Mercado·Sebastián Zamorano
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Abstract

In this article we study the inverse problem of recovering a space-dependent coefficient of the Moore-Gibson-Thompson (MGT) equation, from knowledge of the trace of the solution on some open subset of the boundary. We obtain the Lipschitz stability for this inverse problem, and we design a convergent algorithm for the reconstruction of the unknown coefficient. The techniques used are based on Carleman inequalities for wave equations and properties of the MGT equation.

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Rogelio Arancibia, Rodrigo Lecaros, Alberto Mercado, Sebastián Zamorano. 2020-01-21. An inverse problem for Moore-Gibson-Thompson equation arising in high intensity ultrasound. https://arxiv.org/abs/2001.07673

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