Inverse parabolic problems of determining functions with one spatial-component independence by Carleman estimate

DOI10.1515/JIIP-2020-0089zbMath1486.35466arXiv2009.09710OpenAlexW3173796141MaRDI QIDQ2122155

Yavar Kian, Masahiro Yamamoto, Oleg Yurievich Imanuvilov

Publication date: 6 April 2022

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.09710

zbMATH Keywords

stabilityCarleman estimatesinverse source probleminverse coefficient problem

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30)

Cites Work

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• Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems
• Controllability of parabolic equations
• Reconstruction and stable recovery of source terms and coefficients appearing in diffusion equations

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