Recovering initial states in semilinear parabolic problems from time-averages

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autorschaft

  • Lina Sophie Schmitz
  • Christoph Walker

Organisationseinheiten

Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten (von - bis)503-528
Seitenumfang26
FachzeitschriftJournal of differential equations
Jahrgang429
Frühes Online-Datum21 Feb. 2025
PublikationsstatusVeröffentlicht - 5 Juni 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.

ASJC Scopus Sachgebiete

Zitieren

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

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › 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 ; Jahrgang 429. S. 503-528.
Download
@article{c8b78ffd5aec4c089bb52a35ddce4a5c,
title = "Recovering initial states in semilinear parabolic problems from time-averages",
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",
author = "Schmitz, {Lina Sophie} and Christoph Walker",
note = "Publisher Copyright: {\textcopyright} 2025 The Author(s)",
year = "2025",
month = jun,
day = "5",
doi = "10.1016/j.jde.2025.02.049",
language = "English",
volume = "429",
pages = "503--528",
journal = "Journal of differential equations",
issn = "0022-0396",
publisher = "Academic Press Inc.",

}

Download

TY - JOUR

T1 - Recovering initial states in semilinear parabolic problems from time-averages

AU - Schmitz, Lina Sophie

AU - Walker, Christoph

N1 - Publisher Copyright: © 2025 The Author(s)

PY - 2025/6/5

Y1 - 2025/6/5

N2 - 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.

AB - 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.

KW - Initial state recovering

KW - Semilinear parabolic equations

KW - Time-weighted spaces

UR - http://www.scopus.com/inward/record.url?scp=85218112019&partnerID=8YFLogxK

U2 - 10.1016/j.jde.2025.02.049

DO - 10.1016/j.jde.2025.02.049

M3 - Article

AN - SCOPUS:85218112019

VL - 429

SP - 503

EP - 528

JO - Journal of differential equations

JF - Journal of differential equations

SN - 0022-0396

ER -