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arXiv · 1910.12931

Time memory effect in entropy decay of Ornstein-Uhlenbeck operators

Antonio Agresti·Paola Loreti·Daniela Sforza
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Abstract

We investigate the effect of memory terms on the entropy decay of the solutions to 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.

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Antonio Agresti, Paola Loreti, Daniela Sforza. 2019-10-28. Time memory effect in entropy decay of Ornstein-Uhlenbeck operators. https://arxiv.org/abs/1910.12931

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