Point sources and stability for an inverse problem for a hyperbolic PDE with space and time dependent coefficients

Autor:	Krishnan, Venkateswaran P., Rakesh, Senapati, Soumen
Rok vydání:	2022
Předmět:	Mathematics - Analysis of PDEs 35R30 35L05 35L20 35K20
Druh dokumentu:	Working Paper
Popis:	We study stability aspects for the determination of space and time-dependent lower order perturbations of the wave operator in three space dimensions with point sources. The problems under consideration here are formally determined and we establish Lipschitz stability results for these problems. The main tool in our analysis is a modified version of Bukgheim-Klibanov method based on Carleman estimates. Comment: Minor changes
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2203.05771 Zobrazit plný text záznamu View this record from Arxiv