• openAccess   Discrete maximal regularity for Volterra equations and nonlocal time-stepping schemes 

      Lizama, Carlos; murillo arcila, marina American Institute of Mathematical Sciences (2020)
      In this paper we investigate conditions for maximal regularity of Volterra equations defined on the Lebesgue space of sequences ‘p(Z) by using Bl¨unck’s theorem on the equivalence between operator-valued ‘p-multipliers ...
    • openAccess   Hölder regularity for the Moore-Gibson-Thompson equation with infinite delay 

      Abadias, Luciano; Lizama, Carlos; murillo arcila, marina American Institute of Mathematical Sciences (AIMS) (2018-01)
      We characterize the well-posedness of a third order in time equation with infinite delay in Holder spaces, solely in terms of spectral properties concerning the data of the problem. Our analysis includes the case of the ...
    • openAccess   Maximal lp-regularity for discrete time Volterra equations with delay 

      Lizama, Carlos; murillo arcila, marina Taylor & Francis (2019-07-08)
      In this paper, we investigate the existence and uniqueness of solutions belonging to the vector-valued space ℓp(Z,X) by using Blunck's theorem on the equivalence between operator-valued ℓp-multipliers and the notion of ...
    • openAccess   Well-posedness for degenerate third order equations with delay and applications to inverse problems 

      Conejero, J. Alberto; Lizama, Carlos; murillo arcila, marina; Seoane Sepúlveda, Juan Springer (2018-10)
      In this paper, we study well-posedness for the following third-order in time equation with delay (0.1)α(Mu′)′′(t)+(Nu′)′(t)=βAu(t)+γBu′(t)+Gu′t+Fut+f(t),t∈[0,2π] where α, β, γ are real numbers, A and B are linear operators ...