Conditional stability estimates for the two-dimensional problem of restoring the right-hand side and absorption in the transport equation
type: Item
instance of: scholarly article
title: Conditional stability estimates for the two-dimensional problem of restoring the right-hand side and absorption in the transport equation
zbMATH Open document ID: 0861.35142
DOI: 10.1007/BF02104719
published in: Siberian Mathematical Journal
publication date: 1997-04-22T00:00:00Z
full work available at URL: https://eudml.org/doc/63762
review text: A stationary transport equation is considered on the unit disk in \(\mathbb{R}^2\). The related inverse problem consists of the recovery of a coefficient and the nonhomogeneous term in this equation in terms of the boundary values of its solution specified on the boundary of the unit disk. The author studies the stability of this inversion problem; this is done by estimating the change in the parameters to be recovered in terms of the change in the boundary values of the solution of the transport equation.
reviewed by: Tuncay Aktosun
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 82C70
zbMATH DE Number: 917141
zbMATH Keywords: conditional stability
zbMATH Keywords: stationary transport equation
zbMATH Keywords: recovery of a coefficient and the nonhomogeneous term
author: Vladimir G. Romanov
MaRDI profile type: Publication
cites work: Q4038562
cites work: Q4003938
cites work: Q4150304
cites work: Q3851258
cites work: Q3697429
cites work: Q3799287
cites work: Q3808832
OpenAlex ID: W2075130032
description: scientific article; zbMATH DE number 917141