Recovering Initial States in Semilinear Parabolic Problems from Time-Averages
Autor: | Schmitz, Lina Sophie, Walker, Christoph |
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Rok vydání: | 2024 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | 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. Comment: 19 pages |
Databáze: | arXiv |
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