Lizama, Carlos; Murillo Arcila, Marina(American Institute of Mathematical Sciences, 2020-01)
[EN] In this paper we investigate conditions for maximal regularity of Volterra equations defined on the Lebesgue space of sequences l(p)(Z) by using Blunck's theorem on the equivalence between operator-valued l(p)-multipliers ...
[EN] We consider the maximal regularity problem for a PDE of linear acoustics, named the Van Wijngaarden-Eringen equation, that models the propagation of linear acoustic waves in isothermal bubbly liquids, wherein the ...
Lizama, Carlos; Murillo Arcila, Marina(American Institute of Mathematical Sciences, 2022-08)
[EN] We study discrete time maximal regularity in Lebesgue spaces of sequences for time-stepping schemes arising from Lubich's convolution quadrature method. We show minimal properties on the quadrature weights that ...
Conejero, J. Alberto; Lizama, C.; Murillo-Arcila, Marina; SEOANE SEPÚLVEDA, JUAN BENIGNO(Springer-Verlag, 2019-01)
[EN] In this paper, we study well-posedness for the following third-order in time equation with delay <disp-formula idoperators defined on a Banach space X with domains D(A) and D(B) such that t)is the state function taking ...