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• W2744059239 abstract "We consider weak solutions of the fractional heat equation posed in the whole $n$-dimensional space, and establish their asymptotic convergence to the fundamental solution as $ttoinfty$ under the assumption that the initial datum is an integrable function, or a finite Radon measure. Convergence with suitable rates is obtained for solutions with a finite first initial moment, while for solutions with compactly supported initial data convergence in relative error holds. The results are applied to the fractional Fokker-Planck equation. Brief mention of other techniques and related equations is made." @default.
• W2744059239 created "2017-08-17" @default.
• W2744059239 creator A5028901813 @default.
• W2744059239 date "2017-08-01" @default.
• W2744059239 modified "2023-09-27" @default.
• W2744059239 title "Asymptotic behaviour for the Fractional Heat Equation in the Euclidean space" @default.
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• W2744059239 hasPublicationYear "2017" @default.
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