Recovering Initial States in Semilinear Parabolic Problems from Time-Averages
Analysis of PDEs
2024-07-08 v1
Abstract
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.
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Cite
@article{arxiv.2407.03829,
title = {Recovering Initial States in Semilinear Parabolic Problems from Time-Averages},
author = {Lina Sophie Schmitz and Christoph Walker},
journal= {arXiv preprint arXiv:2407.03829},
year = {2024}
}
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19 pages