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Recovering initial states in semilinear parabolic problems from time-averages

Research output: Contribution to journal › Article › Research › peer review

Authors

  • Lina Sophie Schmitz
  • Christoph Walker

Research Organisations

Details

Original languageEnglish
Pages (from-to)503-528
Number of pages26
JournalJournal of differential equations
Volume429
Early online date21 Feb 2025
Publication statusE-pub ahead of print - 21 Feb 2025

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.

Keywords

    Initial state recovering, Semilinear parabolic equations, Time-weighted spaces

ASJC Scopus subject areas

Cite this

Recovering initial states in semilinear parabolic problems from time-averages. / Schmitz, Lina Sophie; Walker, Christoph.
In: Journal of differential equations, Vol. 429, 05.06.2025, p. 503-528.

Research output: Contribution to journal › Article › Research › peer review

Schmitz LS, Walker C. Recovering initial states in semilinear parabolic problems from time-averages. Journal of differential equations. 2025 Jun 5;429:503-528. Epub 2025 Feb 21. doi: 10.1016/j.jde.2025.02.049, 10.48550/arXiv.2407.03829
Schmitz, Lina Sophie ; Walker, Christoph. / Recovering initial states in semilinear parabolic problems from time-averages. In: Journal of differential equations. 2025 ; Vol. 429. pp. 503-528.
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