Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 825-831 |
| Seitenumfang | 7 |
| Fachzeitschrift | Comptes rendus mathematique |
| Jahrgang | 361 |
| Frühes Online-Datum | 11 Mai 2023 |
| Publikationsstatus | Veröffentlicht - 2023 |
Abstract
Schauder’s fixed point theorem is used to derive the existence of solutions to a semilinear heat equation. The equation features a nonlinear term that depends on the time-integral of the unknown on the whole, a priori given, interval of existence.
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in: Comptes rendus mathematique, Jahrgang 361, 2023, S. 825-831.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - A Remark on a Nonlocal-in-Time Heat Equation
AU - Walker, Christoph
PY - 2023
Y1 - 2023
N2 - Schauder’s fixed point theorem is used to derive the existence of solutions to a semilinear heat equation. The equation features a nonlinear term that depends on the time-integral of the unknown on the whole, a priori given, interval of existence.
AB - Schauder’s fixed point theorem is used to derive the existence of solutions to a semilinear heat equation. The equation features a nonlinear term that depends on the time-integral of the unknown on the whole, a priori given, interval of existence.
KW - existence of global solutions
KW - nonlocal in time
KW - Semilinear heat equation
UR - http://www.scopus.com/inward/record.url?scp=85163317997&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2211.06704
DO - 10.48550/arXiv.2211.06704
M3 - Article
AN - SCOPUS:85163317997
VL - 361
SP - 825
EP - 831
JO - Comptes rendus mathematique
JF - Comptes rendus mathematique
SN - 1631-073X
ER -