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Propagation Speed for Fractional Cooperative Systems with Slowly Decaying Initial Conditions

Commun. Math. Anal.
Volume 19, Number 2 (2016), 82 - 100

Propagation Speed for Fractional Cooperative Systems with Slowly Decaying Initial Conditions

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Abstract

The aim of this paper is to study the time asymptotic propagation for mild solutions to the fractional reaction diffusion cooperative systems when at least one entry of the initial condition decays slower than a power. We state that the solution spreads at least exponentially fast with an exponent depending on the diffusion term and on the smallest index of fractional Laplacians.