1The Academy of Journalism and Communication 36 Xuan Thuy, Cau Giay, Hanoi, Vietnam
Acta mathematica Universitatis Comenianae, Tome 90 (2021) no. 3, pp. 289-308
Citer cet article
Le Van Hieu; Le Van Hieu. Pullback attractors for a class of non-autonomous semilinear parabolic equations with infinite delay. Acta mathematica Universitatis Comenianae, Tome 90 (2021) no. 3, pp. 289-308. http://geodesic.mathdoc.fr/item/AMUC_2021_90_3_a3/
@article{AMUC_2021_90_3_a3,
author = {Le Van Hieu and Le Van Hieu},
title = { Pullback attractors for a class of non-autonomous semilinear parabolic equations with infinite delay},
journal = {Acta mathematica Universitatis Comenianae},
pages = {289--308},
year = {2021},
volume = {90},
number = {3},
url = {http://geodesic.mathdoc.fr/item/AMUC_2021_90_3_a3/}
}
TY - JOUR
AU - Le Van Hieu
AU - Le Van Hieu
TI - Pullback attractors for a class of non-autonomous semilinear parabolic equations with infinite delay
JO - Acta mathematica Universitatis Comenianae
PY - 2021
SP - 289
EP - 308
VL - 90
IS - 3
UR - http://geodesic.mathdoc.fr/item/AMUC_2021_90_3_a3/
ID - AMUC_2021_90_3_a3
ER -
%0 Journal Article
%A Le Van Hieu
%A Le Van Hieu
%T Pullback attractors for a class of non-autonomous semilinear parabolic equations with infinite delay
%J Acta mathematica Universitatis Comenianae
%D 2021
%P 289-308
%V 90
%N 3
%U http://geodesic.mathdoc.fr/item/AMUC_2021_90_3_a3/
%F AMUC_2021_90_3_a3
We study the existence, uniqueness and the asymptotic behavior of solutions of a class of retarded non-autonomous semilinear parabolic equations with infinite delay effects in the weighted space Cγ, nonlinearity containing supelinear perturbations, and time-dependent external forces. With a suitable exponential growth of the external force, we prove the existence of pullback attractors without restriction on the growth order of polynomial type nonlinearity.
