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

Autor:	Arancibia, Rogelio, Lecaros, Rodrigo, Mercado, Alberto, Zamorano, Sebastián
Rok vydání:	2020
Předmět:	Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	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. Comment: New version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2001.07673 Zobrazit plný text záznamu View this record from Arxiv