Inverse source problem for the parabolic equation with sparse moving observations
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866914468944936960 |
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| author | Gu, Qiling Zhang, Wenlong Zhang, Zhidong |
| author_facet | Gu, Qiling Zhang, Wenlong Zhang, Zhidong |
| contents | This paper considers the inverse problem of identifying the source term of parabolic equations from sparse boundary measurements. We used data from moving sensors to locate the unknown source term. This work first proves the uniqueness of the inverse problem under such measurements. Then the movement strategy of the sensor is given, from which the authors build the reconstruction algorithm. Finally, some numerical experiments are performed and the corresponding results are generated, which indicate the effectiveness of the algorithms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_11157 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Inverse source problem for the parabolic equation with sparse moving observations Gu, Qiling Zhang, Wenlong Zhang, Zhidong Analysis of PDEs Numerical Analysis This paper considers the inverse problem of identifying the source term of parabolic equations from sparse boundary measurements. We used data from moving sensors to locate the unknown source term. This work first proves the uniqueness of the inverse problem under such measurements. Then the movement strategy of the sensor is given, from which the authors build the reconstruction algorithm. Finally, some numerical experiments are performed and the corresponding results are generated, which indicate the effectiveness of the algorithms. |
| title | Inverse source problem for the parabolic equation with sparse moving observations |
| topic | Analysis of PDEs Numerical Analysis |
| url | https://arxiv.org/abs/2604.11157 |