Conditional stability for an inverse coefficient problem of a weakly coupled time-fractional diffusion system with half order by Carleman estimate-Reference-Cited by-同舟云学术

Conditional stability for an inverse coefficient problem of a weakly coupled time-fractional diffusion system with half order by Carleman estimate

Published:2021-04-16 Issue:5 Volume:29 Page:635-651
ISSN:0928-0219
Container-title:Journal of Inverse and Ill-posed Problems
language:en
Short-container-title:

Author:

Ren Caixuan¹,Huang Xinchi²,Yamamoto Masahiro³

Affiliation:

1. College of Science , Donghua University , 2999 North Renmin Road , Shanghai 201620 , P. R. China

2. JSPS Postdoctoral Fellowships for research in Japan , Graduate School of Mathematical Sciences , The University of Tokyo , 3-8-1 Komaba, Meguro-ku , Tokyo 153-8914 , Japan

3. Graduate School of Mathematical Sciences , The University of Tokyo , 3-8-1 Komaba, Meguro-ku , Tokyo 153-8914 , Japan ; and Honorary Member of Academy of Romanian Scientists, Ilfov, nr. 3, Bucuresti, Romania; and Peoples’ Friendship University of Russia (RUDN University) 6 Miklukho-Maklaya St, Moscow, 117198, Russia

Abstract

Abstract Under a priori boundedness conditions of solutions and coefficients, we prove a Hölder stability estimate for an inverse problem of determining two spatially varying zeroth order non-diagonal elements of a coefficient matrix in a one-dimensional fractional diffusion system of half order in time. The proof relies on the conversion of the fractional diffusion system to a system of order 4 in the space variable and the Carleman estimate.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/jiip-2019-0041/pdf

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