@misc{10498/35372,
year = {2020},
url = {http://hdl.handle.net/10498/35372},
abstract = {In this paper we investigate conditions for maximal regularity of
Volterra equations de ned on the Lebesgue space of sequences $l_p(Z)$ by using
Bl unck's theorem on the equivalence between operator-valued $l_p$-multipliers
and the notion of R-boundedness. We show sufficient conditions for maximal
$l_p-l_q$ regularity of solutions of such problems solely in terms of the data. We
also explain the signi cance of kernel sequences in the theory of viscoelasticity,
establishing a new and surprising connection with schemes of approximation
of fractional models.},
publisher = {AIMS},
keywords = {Maximal regularity},
keywords = {time-stepping schemes},
keywords = {discrete Volterra equations},
keywords = {nonlocal operators},
title = {Discrete maximal regularity for Volterra equations and nonlocal time-stepping schemes},
doi = {10.3934/DCDS.2020020},
author = {Lizama, Carlos and Murillo Arcila, Marina},
}