Work

Stability for inverse source problems by Carleman estimates

Year: 2020

Type: article

Abstract: In this article, we provide a modified argument for proving stability for inverse problems of determining spatially varying functions in evolution equations by Carleman estimates. Our method does not require any cut-off procedures and therefore simplifies the existing proofs. We establish the conditional stability for inverse source problems for a hyperbolic equation and a parabolic equation, and our method is widely applicable to various evolution equations.

Source: Inverse Problems

DOI: 10.1088/1361-6420/aba892

Authors: X Huang, O Yu Imanuvilov, M Yamamoto

Institutions: The University of Tokyo, Colorado State University, Peoples' Friendship University of Russia, Academia Oamenilor de Știință din România

Language: English

Topic: Numerical methods in inverse problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Japan Society for the Promotion of Science

Awards: 地下水污染中的若干重要反问题的研究, G2503992954