STABILITY ESTIMATE FOR A PARTIAL DATA INVERSE PROBLEM FOR THE CONVECTION-DIFFUSION EQUATION

Please use this identifier to cite or link to this item: http://10.10.120.238:8080/xmlui/handle/123456789/763

Title:	STABILITY ESTIMATE FOR A PARTIAL DATA INVERSE PROBLEM FOR THE CONVECTION-DIFFUSION EQUATION
Authors:	Senapati S. Vashisth M.
Keywords:	Carleman estimates Inverse problems parabolic equa-tion partial Dirichlet to Neumann map stability estimate
Issue Date:	2022
Publisher:	American Institute of Mathematical Sciences
Abstract:	In this article, we study the stability in the inverse problem of determining the time-dependent convection term and density coefficient appearing in the convection-diffusion equation, from partial boundary measurements. For dimension n ≥ 2, we show the convection term (modulo the gauge term) admits log-log stability, whereas log-log-log stability estimate is obtained for the density coefficient. © 2022, American Institute of Mathematical Sciences. All rights reserved.
URI:	https://dx.doi.org/10.3934/eect.2021060 http://localhost:8080/xmlui/handle/123456789/763
ISSN:	2163-2472
Appears in Collections:	Journal Article

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