Geodesic
Équations aux dérivées partielles
A Remark on a Nonlocal-in-Time Heat Equation
Walker, Christoph1
1 Leibniz Universität Hannover, Institut für Angewandte Mathematik, Welfengarten 1, 30167 Hannover, Germany
Comptes Rendus. Mathématique, Tome 361 (2023) no. G4, pp. 825-831

Voir la notice de l'article provenant de la source Numdam

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.

Reçu le :
Révisé le :
Accepté le :
Publié le :
DOI : 10.5802/crmath.443
Classification : 35K58
Keywords: Semilinear heat equation, nonlocal in time, existence of global solutions

Walker, Christoph 1

1 Leibniz Universität Hannover, Institut für Angewandte Mathematik, Welfengarten 1, 30167 Hannover, Germany
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
@article{CRMATH_2023__361_G4_825_0,
     author = {Walker, Christoph},
     title = {A {Remark} on a {Nonlocal-in-Time} {Heat} {Equation}},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {825--831},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {361},
     number = {G4},
     year = {2023},
     doi = {10.5802/crmath.443},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.5802/crmath.443/}
}
TY  - JOUR
AU  - Walker, Christoph
TI  - A Remark on a Nonlocal-in-Time Heat Equation
JO  - Comptes Rendus. Mathématique
PY  - 2023
SP  - 825
EP  - 831
VL  - 361
IS  - G4
PB  - Académie des sciences, Paris
UR  - http://geodesic.mathdoc.fr/articles/10.5802/crmath.443/
DO  - 10.5802/crmath.443
LA  - en
ID  - CRMATH_2023__361_G4_825_0
ER  - 
%0 Journal Article
%A Walker, Christoph
%T A Remark on a Nonlocal-in-Time Heat Equation
%J Comptes Rendus. Mathématique
%D 2023
%P 825-831
%V 361
%N G4
%I Académie des sciences, Paris
%U http://geodesic.mathdoc.fr/articles/10.5802/crmath.443/
%R 10.5802/crmath.443
%G en
%F CRMATH_2023__361_G4_825_0
Walker, Christoph. A Remark on a Nonlocal-in-Time Heat Equation. Comptes Rendus. Mathématique, Tome 361 (2023) no. G4, pp. 825-831. doi: 10.5802/crmath.443

Cité par Sources :