A Carleman estimate and an energy method for a first-order symmetric hyperbolic system
| Autor: | Giuseppe Floridia, Hiroshi Takase, Masahiro Yamamoto |
|---|---|
| Rok vydání: | 2022 |
| Předmět: |
Control and Optimization
observability energy estimate Carleman estimate conditional stability symmetric hyperbolic system Mathematics::Optimization and Control Mathematics::Analysis of PDEs Mathematics - Analysis of PDEs Modeling and Simulation FOS: Mathematics Discrete Mathematics and Combinatorics Analysis Analysis of PDEs (math.AP) |
| Zdroj: | Inverse Problems and Imaging. 16:1163 |
| ISSN: | 1930-8345 1930-8337 |
| DOI: | 10.3934/ipi.2022016 |
| Popis: | For a symmetric hyperbolic system of the first order, we prove a Carleman estimate under some positivity condition concerning the coefficient matrices. Next, applying the Carleman estimate, we prove an observability \begin{document}$ L^2 $\end{document}-estimate for initial values by boundary data. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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