Deconvolutional determination of the nonlinearity in a semilinear wave equation
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866916585902440448 |
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| author | Hu, Nicholas Killip, Rowan Visan, Monica |
| author_facet | Hu, Nicholas Killip, Rowan Visan, Monica |
| contents | We demonstrate that in three space dimensions, the scattering behaviour of semilinear wave equations with quintic-type nonlinearities uniquely determines the nonlinearity. The nonlinearity is permitted to depend on both space and time. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_00829 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Deconvolutional determination of the nonlinearity in a semilinear wave equation Hu, Nicholas Killip, Rowan Visan, Monica Analysis of PDEs We demonstrate that in three space dimensions, the scattering behaviour of semilinear wave equations with quintic-type nonlinearities uniquely determines the nonlinearity. The nonlinearity is permitted to depend on both space and time. |
| title | Deconvolutional determination of the nonlinearity in a semilinear wave equation |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2307.00829 |