Inverse problem to determine simultaneously several scalar parameters and a time-dependent source term in a superdiffusion equation involving a multiterm fractional Laplacian
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909601303101440 |
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| author | Gerges, Hany Janno, Jaan |
| author_facet | Gerges, Hany Janno, Jaan |
| contents | Inverse problem to recover simultaneously a scalar coefficient, order of a time-fractional derivative, parameters of multiterm fractional Laplacian and a time-dependent source term occurring in a superdiffusion equation from measurements over the time is considered. Uniqueness of a solution is proved. The proof uses asymptotics of poles of the Laplace transform of a measured function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_02348 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Inverse problem to determine simultaneously several scalar parameters and a time-dependent source term in a superdiffusion equation involving a multiterm fractional Laplacian Gerges, Hany Janno, Jaan Analysis of PDEs Inverse problem to recover simultaneously a scalar coefficient, order of a time-fractional derivative, parameters of multiterm fractional Laplacian and a time-dependent source term occurring in a superdiffusion equation from measurements over the time is considered. Uniqueness of a solution is proved. The proof uses asymptotics of poles of the Laplace transform of a measured function. |
| title | Inverse problem to determine simultaneously several scalar parameters and a time-dependent source term in a superdiffusion equation involving a multiterm fractional Laplacian |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2505.02348 |