Geodesic
Time Memory Effect in Entropy Decay of Ornstein-Uhlenbeck Operators
Minimax theory and its applications, Tome 6 (2021) no. 2
Cet article a éte moissonné depuis la source Minimax Theory and its Applications website

Voir la notice de l'article

We investigate the effect of memory terms on the entropy decay of the solutions to diffusion equations with Ornstein-Uhlenbeck operators. Our assumptions on the memory kernels include Caputo-Fabrizio operators and, more generally, the stretched exponential functions. We establish a sharp rate decay for the entropy. Examples and numerical simulations are also given to illustratethe results.
Mots-clés : Memory kernels, Ornstein-Uhlenbeck operators, entropy estimates, logarithmic Sobolev inequalities 
@article{MTA_2021_6_2_a0,
     author = {Antonio Agresti,Paola Loreti and Daniela Sforza},
     title = {Time {Memory} {Effect} in {Entropy} {Decay} of {Ornstein-Uhlenbeck} {Operators}},
     journal = {Minimax theory and its applications},
     year = {2021},
     volume = {6},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/MTA_2021_6_2_a0/}
}
TY  - JOUR
AU  - Antonio Agresti,Paola Loreti
AU  - Daniela Sforza
TI  - Time Memory Effect in Entropy Decay of Ornstein-Uhlenbeck Operators
JO  - Minimax theory and its applications
PY  - 2021
VL  - 6
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/MTA_2021_6_2_a0/
ID  - MTA_2021_6_2_a0
ER  - 
%0 Journal Article
%A Antonio Agresti,Paola Loreti
%A Daniela Sforza
%T Time Memory Effect in Entropy Decay of Ornstein-Uhlenbeck Operators
%J Minimax theory and its applications
%D 2021
%V 6
%N 2
%U http://geodesic.mathdoc.fr/item/MTA_2021_6_2_a0/
%F MTA_2021_6_2_a0
Antonio Agresti,Paola Loreti; Daniela Sforza. Time Memory Effect in Entropy Decay of Ornstein-Uhlenbeck Operators. Minimax theory and its applications, Tome 6 (2021) no. 2. http://geodesic.mathdoc.fr/item/MTA_2021_6_2_a0/