%0 Journal Article 
%A Conejero, J.A.
%A Lizama, Carlos
%A Murillo Arcila, Marina
%T Chaotic semigroups from second order partial differential equations
%D 2017
%@ 1096-0813

%U http://hdl.handle.net/10498/35439
%X We give general conditions on given parameters to ensure Devaney and distributional chaos for
the solution C0-semigroup corresponding to a class of second-order partial differential equations. We also
provide a critical parameter that led us to distinguish between stability and chaos for these semigroups. In
the case of chaos, we prove that the C0-semigroup admits a strongly mixing measure with full support. We
also give concrete examples of partial differential equations, such as the telegraph equation, whose solutions satisfy these properties.
%K Devaney chaos
%K Hypercyclicity
%K C0-semigroups
%K Dynamics of C0-semigroups
%K Telegraph equation
%~ Universidad de Cádiz