Recovering Initial States in Semilinear Parabolic Problems from Time-Averages
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866914859345510400 |
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| author | Schmitz, Lina Sophie Walker, Christoph |
| author_facet | Schmitz, Lina Sophie Walker, Christoph |
| contents | Well-posedness of certain semilinear parabolic problems with nonlocal initial conditions is shown in time-weighted spaces. The result is applied to recover the initial states in semilinear parabolic problems with nonlinearities of superlinear behavior near zero from small time-averages over arbitrary time periods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_03829 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Recovering Initial States in Semilinear Parabolic Problems from Time-Averages Schmitz, Lina Sophie Walker, Christoph Analysis of PDEs Well-posedness of certain semilinear parabolic problems with nonlocal initial conditions is shown in time-weighted spaces. The result is applied to recover the initial states in semilinear parabolic problems with nonlinearities of superlinear behavior near zero from small time-averages over arbitrary time periods. |
| title | Recovering Initial States in Semilinear Parabolic Problems from Time-Averages |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2407.03829 |