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Decay estimates in time for classical and anomalous diffusion (1812.09451v2)
Published 22 Dec 2018 in math.AP
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.