Acta mathematica Universitatis Comenianae, Tome 75 (2006) no. 1
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P. P. Rouchon. Universal bounds for global solutions of a diffusion equation with a mixed local-nonlocal reaction term. Acta mathematica Universitatis Comenianae, Tome 75 (2006) no. 1. http://geodesic.mathdoc.fr/item/AMUC_2006_75_1_a5/
@article{AMUC_2006_75_1_a5,
author = {P. P. Rouchon},
title = {Universal bounds for global solutions of a diffusion equation with a mixed local-nonlocal reaction term},
journal = {Acta mathematica Universitatis Comenianae},
year = {2006},
volume = {75},
number = {1},
url = {http://geodesic.mathdoc.fr/item/AMUC_2006_75_1_a5/}
}
TY - JOUR
AU - P. P. Rouchon
TI - Universal bounds for global solutions of a diffusion equation with a mixed local-nonlocal reaction term
JO - Acta mathematica Universitatis Comenianae
PY - 2006
VL - 75
IS - 1
UR - http://geodesic.mathdoc.fr/item/AMUC_2006_75_1_a5/
ID - AMUC_2006_75_1_a5
ER -
%0 Journal Article
%A P. P. Rouchon
%T Universal bounds for global solutions of a diffusion equation with a mixed local-nonlocal reaction term
%J Acta mathematica Universitatis Comenianae
%D 2006
%V 75
%N 1
%U http://geodesic.mathdoc.fr/item/AMUC_2006_75_1_a5/
%F AMUC_2006_75_1_a5
In this paper we prove the existence of a universal, i.e. independent of the initial data, bound for global positive solutions of a diffusion equation with a mixed local-nonlocal reaction term. Such results are already known in some cases of local or nonlocal reaction terms.
