Decay estimates for evolutionary equations with fractional time-diffusion

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We consider an evolution equation whose time-diffusion is of fractional type, and we provide decay estimates in time for the L s -norm of the solutions in a bounded domain. The spatial operator that we take into account is very general and comprises classical local and nonlocal diffusion equations.

Original languageEnglish
Pages (from-to)435-462
Number of pages28
JournalJournal of Evolution Equations
Volume19
Issue number2
DOIs
Publication statusPublished - 1 Jun 2019

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Decay Estimates
Fractional
Nonlocal Diffusion
Nonlocal Equations
Diffusion equation
Evolution Equation
Bounded Domain
Norm
Operator

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title = "Decay estimates for evolutionary equations with fractional time-diffusion",
abstract = "We consider an evolution equation whose time-diffusion is of fractional type, and we provide decay estimates in time for the L s -norm of the solutions in a bounded domain. The spatial operator that we take into account is very general and comprises classical local and nonlocal diffusion equations.",
keywords = "Decay of solutions in time with respect to Lebesgue norms, Fractional diffusion, Parabolic equations",
author = "Serena Dipierro and Enrico Valdinoci and Vincenzo Vespri",
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journal = "Journal of Evolution Equations",
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}

Decay estimates for evolutionary equations with fractional time-diffusion. / Dipierro, Serena; Valdinoci, Enrico; Vespri, Vincenzo.

In: Journal of Evolution Equations, Vol. 19, No. 2, 01.06.2019, p. 435-462.

Research output: Contribution to journalArticle

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AU - Valdinoci, Enrico

AU - Vespri, Vincenzo

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KW - Parabolic equations

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