Geodesic
Time Memory Effect in Entropy Decay of Ornstein-Uhlenbeck Operators
Minimax theory and its applications, Tome 6 (2021) no. 2

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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 
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/
@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/}
}
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