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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Acknowledgements
This work has been supported by the Australian Research Council Discovery Project 170104880 NEW “Nonlocal Equations at Work”. Part of this work was carried out on the occasion of a very pleasant visit of the first author to the University of Western Australia, which we thank for the warm hospitality. The authors are members of INdAM/GNAMPA.
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Affili, E., Dipierro, S., Valdinoci, E. (2020). Decay Estimates in Time for Classical and Anomalous Diffusion. In: de Gier, J., Praeger, C., Tao, T. (eds) 2018 MATRIX Annals. MATRIX Book Series, vol 3. Springer, Cham. https://doi.org/10.1007/978-3-030-38230-8_12
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