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.
Decay estimates for evolutionary equations with fractional time-diffusion / Dipierro S.; Valdinoci E.; Vespri V.. - In: JOURNAL OF EVOLUTION EQUATIONS. - ISSN 1424-3199. - ELETTRONICO. - 19:(2019), pp. 435-462. [10.1007/s00028-019-00482-z]
Decay estimates for evolutionary equations with fractional time-diffusion
VALDINOCI, ENRICO;Vespri V.
2019
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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