Conejero, J. Alberto; Lizama, Carlos; Ródenas Escribá, Francisco de Asís(Natural Sciences Publishing, 2015-09)
[EN] We study a third-order partial differential equation in the form
$\tau u_{ttt} +\alpha u_{tt} -c^2 u_{xx} -b u_{xxt} =0, (1)$$
that corresponds to the one-dimensional version of the Moore-Gibson-Thompson equation ...
[EN] 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 ...
Albanese, Angela A.; Bonet Solves, José Antonio; Ricker, Werner Joseph(Adam Miekiewicz University. Faculty of Mathematics and Computer Science, 2014)
[EN] Let (T(t))t>0 be a strongly continuous C0-semigroup of bounded linear operators
on a Banach space X such that limt→∞ kT(t)/tk = 0. Characterizations of when (T(t))t>0 is
uniformly mean ergodic, i.e., of when its ...