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 illustrate the results.
Time Memory Effect in Entropy Decay of Ornstein-Uhlenbeck Operators / Agresti, Antonio; Loreti, Paola; Sforza, Daniela. - In: MINIMAX THEORY AND ITS APPLICATIONS. - ISSN 2199-1413. - 6:2(2021), pp. 173-190.
Time Memory Effect in Entropy Decay of Ornstein-Uhlenbeck Operators
Agresti Antonio;Loreti Paola;Sforza Daniela
2021
Abstract
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 illustrate the results.File allegati a questo prodotto
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