Hölder stability estimates in determining the time-dependent coefficients of the heat equation from the Cauchy data set-Reference-Cited by-同舟云学术

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

Published:2023-08-01 Issue:0 Volume:0 Page:
ISSN:0928-0219
Container-title:Journal of Inverse and Ill-posed Problems
language:en
Short-container-title:

Author:

Rassas Imen¹^ORCID

Affiliation:

1. Laboratoire de Modélisation Mathématique et Numérique dans les Sciences de l’Ingénieur (LAMSIN) , National Engineering School of Tunis , University Of Tunis El Manar , 1002 Tunis , Tunisia

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/jiip-2021-0013/pdf

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