Determining Riemannian manifolds from nonlinear wave observations at a single point
| Authors | |
|---|---|
| Publication date | 11-2023 |
| Journal | Inverse Problems |
| Article number | 115001 |
| Volume | Issue number | 39 | 11 |
| Number of pages | 45 |
| Organisations |
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| Abstract | We show that on an a-priori unknown Riemannian manifold (M, g), measuring the source-to-solution map for the semilinear wave equation at a single point determines its topological, differential, and geometric structure. |
| Document type | Article |
| Note | Publisher Copyright: © 2023 IOP Publishing Ltd. |
| Language | English |
| Published at | https://doi.org/10.1088/1361-6420/aceea7 |
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Determining Riemannian manifolds from nonlinear wave observations at a single point
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