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- W3100667679 abstract "We study the large-time behavior in all Lp norms and in different space-time scales of solutions to a nonlocal heat equation in $mathbb {R}^{N}$ involving a Caputo α-time derivative and a power of the Laplacian (−Δ)s, s ∈ (0,1), extending recent results by the authors for the case s = 1. The initial data are assumed to be integrable, and, when required, to be also in Lp. The main novelty with respect to the case s = 1 comes from the behaviour in fast scales, for which, thanks to the fat tails of the fundamental solution of the equation, we are able to give results that are not available neither for the case s = 1 nor, to our knowledge, for the standard heat equation, s = 1, α = 1." @default.
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- W3100667679 date "2020-11-13" @default.
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- W3100667679 title "Large-Time Behavior for a Fully Nonlocal Heat Equation" @default.
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- W3100667679 doi "https://doi.org/10.1007/s10013-020-00452-w" @default.
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