Stability for inverse source problems by Carleman estimates
| Autor: | Masahiro Yamamoto, Xinchi Huang, O. Yu. Imanuvilov |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Conditional stability
Applied Mathematics Stability (learning theory) Inverse 010103 numerical & computational mathematics Inverse problem Mathematical proof 01 natural sciences Computer Science Applications Theoretical Computer Science 010101 applied mathematics Inverse source problem Mathematics - Analysis of PDEs Argument Signal Processing FOS: Mathematics Applied mathematics 0101 mathematics Hyperbolic partial differential equation Mathematical Physics Mathematics Analysis of PDEs (math.AP) |
| DOI: | 10.48550/arxiv.1912.10484 |
| Popis: | In this article, we provide a modified argument for proving conditional stability for inverse problems of determining spatially varying functions in evolution equations by Carleman estimates. Our method needs not any cut-off procedures and can simplify 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. Comment: 17 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|