Stability estimates for the recovery of the nonlinearity from scattering data
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866909425627824128 |
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| author | Chen, Gong Murphy, Jason |
| author_facet | Chen, Gong Murphy, Jason |
| contents | We prove stability estimates for the problem of recovering the nonlinearity from scattering data. We focus our attention on nonlinear Schrödinger equations of the form
\[
(i\partial_t+Δ)u = a(x)|u|^p u
\]
in three space dimensions, with $p\in[\tfrac43,4]$ and $a\in W^{1,\infty}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_06170 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Stability estimates for the recovery of the nonlinearity from scattering data Chen, Gong Murphy, Jason Analysis of PDEs We prove stability estimates for the problem of recovering the nonlinearity from scattering data. We focus our attention on nonlinear Schrödinger equations of the form \[ (i\partial_t+Δ)u = a(x)|u|^p u \] in three space dimensions, with $p\in[\tfrac43,4]$ and $a\in W^{1,\infty}$. |
| title | Stability estimates for the recovery of the nonlinearity from scattering data |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2305.06170 |