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Hölder stability estimates in determining the time-dependent coefficients of the heat equation from the Cauchy data set.

Authors :
Rassas, Imen
Source :
Journal of Inverse & Ill-Posed Problems. Apr2024, Vol. 32 Issue 2, p183-198. 16p.
Publication Year :
2024

Abstract

In this paper, we address stability results in determining the time-dependent scalar and vector potentials appearing in the convection-diffusion equation from the knowledge of the Cauchy data set. We prove Hölder-type stability estimates. The key tool used in this work is the geometric optics solution. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
09280219
Volume :
32
Issue :
2
Database :
Academic Search Index
Journal :
Journal of Inverse & Ill-Posed Problems
Publication Type :
Academic Journal
Accession number :
176410336
Full Text :
https://doi.org/10.1515/jiip-2021-0013