Decay estimates for evolutionary equations with fractional time-diffusion

Serena Dipierro; Enrico Valdinoci; Vincenzo Vespri

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arXiv · 1707.08278

Decay estimates for evolutionary equations with fractional time-diffusion

Serena Dipierro·Enrico Valdinoci·Vincenzo Vespri

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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.

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Serena Dipierro, Enrico Valdinoci, Vincenzo Vespri. 2017-07-26. Decay estimates for evolutionary equations with fractional time-diffusion. https://arxiv.org/abs/1707.08278

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