Listar por autoría "6268c04f-b831-45ea-bfaa-d305fb7586c5"
Mostrando ítems 1-12 de 12
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Chaotic semigroups from second order partial differential equations
Conejero, J. Alberto; Lizama, Carlos; murillo arcila, marina Elsevier (2017-12)We give general conditions on given parameters to ensure Devaney and distributional chaos for the solution Co-semigroup corresponding to a class of second-order partial differential equations. We also provide a critical ... -
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 ... -
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 ... -
Lebesgue regularity for differential difference equations with fractional damping
Lizama, Carlos; murillo arcila, marina; Leal, Claudio Wiley (2018)We provide necessary and sufficient conditions for the existence and unique-ness of solutions belonging to the vector-valued space of sequences �(Z, X) forequations that can be modeled in the formΔu(n)+Δu(n)=Au(n)+G(u)(n)+ ... -
Lebesgue regularity for nonlocal time-discrete equations with delays
Leal, Claudio; Lizama, Carlos; murillo arcila, marina De Gruyter (2018-06-26)In this work, we provide a new and effective characterization for the existence and uniqueness of solutions for nonlocal time-discrete equations with delays, in the setting of vector-valued Lebesgue spaces of ... -
Linear dynamics of semigroups generated by differential operators
Conejero, J. Alberto; Lizama, Carlos; murillo arcila, marina; Peris, A. De Gruyter (2017)During the last years, several notions have been introduced for describing the dynamical behavior of linear operators on infinite-dimensional spaces, such as hypercyclicity, chaos in the sense of Devaney, chaos in the ... -
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 ... -
Maximal regularity in l(p) spaces for discrete time fractional shifted equations
Lizama, Carlos; murillo arcila, marina Elsevier (2017-09)In this paper, we are presenting a new method based on operator-valued Fourier multipliers to characterize the existence and uniqueness of p -solutions for discrete time fractional models i ... -
On the existence of chaos for the viscous van Wijngaarden–Eringen equation
Conejero, J. Alberto; Lizama, Carlos; murillo arcila, marina Elsevier (2016-08)We study the viscous van Wijngaarden–Eringen equation: which corresponds to the linearized version of the equation that models the acoustic planar propagation in bubbly liquids. We show the existence of an explicit range, ... -
Well posedness for semidiscrete fractional Cauchy problems with finite delay
Lizama, Carlos; murillo arcila, marina Elsevier (2017-08)We address the study of well posedness on Lebesgue spaces of sequences for the following fractional semidiscrete model with finite delay ∆ α u ( n ) = Tu ( n ) + β u ( n − τ ) + f ( n ) , n ∈ N , 0 < ... -
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 ... -
ℓp-Maximal regularity for a class of fractional difference equations on umd spaces: the case 1<α≤2
Lizama, Carlos; murillo arcila, marina Duke University Press (2016-11)By using Blunck’s operator-valued Fourier multiplier theorem, we completely characterize the existence and uniqueness of solutions in Lebesgue sequence spaces for a discrete version of the Cauchy problem with fractional ...