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.
Decay Estimates in Time for Classical and Anomalous Diffusion / E. Affili, S. Dipierro, E. Valdinoci (MATRIX BOOK SERIES). - In: 2018 MATRIX Annals / [a cura di] D.R. Wood, J. de Gier, C.E. Praeger, T. Tao. - Prima edizione. - [s.l] : Springer, 2020. - ISBN 9783030382292. - pp. 167-182 (( convegno Recent Trends on Nonlinear PDEs of Elliptic and Parabolic Type tenutosi a MATRIX, Ballarat nel 2018 [10.1007/978-3-030-38230-8_12].
Decay Estimates in Time for Classical and Anomalous Diffusion
E. Affili;S. Dipierro;E. Valdinoci
2020
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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