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arxiv: 1707.08278 · v2 · pith:RMHPHFLTnew · submitted 2017-07-26 · 🧮 math.AP

Decay estimates for evolutionary equations with fractional time-diffusion

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keywords decayequationsestimatesfractionaltime-diffusionaccountboundedclassical
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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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