Optimal Runge approximation for damped nonlocal wave equations and simultaneous determination results
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910725326241792 |
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| author | Zimmermann, Philipp |
| author_facet | Zimmermann, Philipp |
| contents | The main purpose of this article is to establish new uniqueness results for Calderón type inverse problems related to damped nonlocal wave equations. To achieve this goal we extend the theory of very weak solutions to our setting, which allows to deduce an optimal Runge approximation theorem. With this result at our disposal, we can prove simultaneous determination results in the linear and semilinear regime. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_02046 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Optimal Runge approximation for damped nonlocal wave equations and simultaneous determination results Zimmermann, Philipp Analysis of PDEs 35R30, 26A33, 42B37 The main purpose of this article is to establish new uniqueness results for Calderón type inverse problems related to damped nonlocal wave equations. To achieve this goal we extend the theory of very weak solutions to our setting, which allows to deduce an optimal Runge approximation theorem. With this result at our disposal, we can prove simultaneous determination results in the linear and semilinear regime. |
| title | Optimal Runge approximation for damped nonlocal wave equations and simultaneous determination results |
| topic | Analysis of PDEs 35R30, 26A33, 42B37 |
| url | https://arxiv.org/abs/2412.02046 |