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arXiv · 1812.09451

Decay estimates in time for classical and anomalous diffusion

Elisa Affili·Serena Dipierro·Enrico Valdinoci
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Abstract

We present a series of results focused on the decay in time of solutions of classical and anomalous diffusive equations in a bounded domain. The size of the solution is measured in a Lebesgue space, and the setting comprises time-fractional and space-fractional equations and operators of nonlinear type. We also discuss how fractional operators may affect long-time asymptotics.

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Elisa Affili, Serena Dipierro, Enrico Valdinoci. 2018-12-22. Decay estimates in time for classical and anomalous diffusion. https://arxiv.org/abs/1812.09451

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