Conejero, J. Alberto; Lizama, Carlos; Murillo Arcila, Marina(Elsevier, 2017-12-01)
[EN] We give general conditions on given parameters to ensure Devaney and distributional chaos for the solution C-0-semigroup corresponding to a class of second-order partial differential equations. We also provide a ...
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 ...
Conejero, J. Alberto; Lizama, Carlos; Ródenas Escribá, Francisco de Asís(Elsevier, 2016-04-15)
[EN] In this note we provide a representation of the solution using an operator theoretical approach based on the theory of C-0-semigroups and cosine operator functions, when considering this phenomenon on a compressible ...
Fuente, David; Lizama, Carlos; Urchueguía Schölzel, Javier Fermín; Conejero, J. Alberto(Elsevier, 2018-01)
[EN] Light attenuation within suspensions of photosynthetic microorganisms has been widely described by the Lambert-Beer equation. However, at depths where most of the light has been absorbed by the cells, light decay ...
Lizama, Carlos; Murillo Arcila, Marina; Trujillo Guillen, Macarena(American Institute of Mathematical Sciences, 2022-06-06)
[EN] In this article we propose an alternative formulation to model a thermal-optical coupled problem involving laser heating. We show that by using the Fractional Beer-Lambert Law (FBLL) instead of the Beer-Lambert Law ...
[EN] We examine the Cauchy problem for a model of linear acoustics, called the Moore-Gibson-Thompson equation, describing a sound propagation in thermo-viscous elastic media with two temperatures on cylindrical domains. ...
Lizama, Carlos; Murillo Arcila, Marina(University of Szeged, 2021)
[EN] In this paper, we completely characterize, only in terms of the data, the well-posedness of a fourth order abstract evolution equation arising from the Moore-Gibson-Thomson equation with memory. This characterization ...