Recovering Initial States in Semilinear Parabolic Problems from Time-Averages

Autor:	Schmitz, Lina Sophie, Walker, Christoph
Rok vydání:	2024
Předmět:	Mathematics - Analysis of PDEs
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
Externí odkaz:	http://arxiv.org/abs/2407.03829 Zobrazit plný text záznamu View this record from Arxiv