RT journal article
T1 Discrete maximal regularity for Volterra equations and nonlocal time-stepping schemes
A1 Lizama, Carlos
A1 Murillo Arcila, Marina
A2 Matemáticas
K1 Maximal regularity
K1 time-stepping schemes
K1 discrete Volterra equations
K1 nonlocal operators
AB In this paper we investigate conditions for maximal regularity ofVolterra equations de ned on the Lebesgue space of sequences $l_p(Z)$ by usingBl unck's theorem on the equivalence between operator-valued $l_p$-multipliersand 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. Wealso explain the signi cance of kernel sequences in the theory of viscoelasticity,establishing a new and surprising connection with schemes of approximationof fractional models.
PB AIMS
SN 1553-5231
YR 2020
FD 2020
LK http://hdl.handle.net/10498/35372
UL http://hdl.handle.net/10498/35372
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 21-sep-2026