Inverse source problem for a hyperbolic equation by Carleman estimates
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908408081285120 |
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| author | Si, Suliang |
| author_facet | Si, Suliang |
| contents | In this article, we provide a modified argument for proving the conditional stability of inverse source problem for a hyperbolic equation. Our method does not require any extension of solution with respect to time and therefore simplifies the existing proofs, which is widely applicable to various evolution equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_12703 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Inverse source problem for a hyperbolic equation by Carleman estimates Si, Suliang Analysis of PDEs In this article, we provide a modified argument for proving the conditional stability of inverse source problem for a hyperbolic equation. Our method does not require any extension of solution with respect to time and therefore simplifies the existing proofs, which is widely applicable to various evolution equations. |
| title | Inverse source problem for a hyperbolic equation by Carleman estimates |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2506.12703 |