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Mathematics > Analysis of PDEs

arXiv:1812.09451 (math)
[Submitted on 22 Dec 2018 (v1), last revised 8 Aug 2019 (this version, v2)]

Title:Decay estimates in time for classical and anomalous diffusion

Authors: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.
Subjects: Analysis of PDEs (math.AP)
Cite as: arXiv:1812.09451 [math.AP]
  (or arXiv:1812.09451v2 [math.AP] for this version)
  https://doi.org/10.48550/arXiv.1812.09451

Submission history

From: Enrico Valdinoci [view email]
[v1] Sat, 22 Dec 2018 05:22:50 UTC (13 KB)
[v2] Thu, 8 Aug 2019 10:15:38 UTC (34 KB)
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