RT journal article
T1 Chaotic semigroups from second order partial differential equations
A1 Conejero, J.A.
A1 Lizama, Carlos
A1 Murillo Arcila, Marina
A2 Matemáticas
K1 Devaney chaos
K1 Hypercyclicity
K1 C0-semigroups
K1 Dynamics of C0-semigroups
K1 Telegraph equation
AB We give general conditions on given parameters to ensure Devaney and distributional chaos forthe solution C0-semigroup corresponding to a class of second-order partial differential equations. We alsoprovide a critical parameter that led us to distinguish between stability and chaos for these semigroups. Inthe case of chaos, we prove that the C0-semigroup admits a strongly mixing measure with full support. Wealso give concrete examples of partial differential equations, such as the telegraph equation, whose solutions satisfy these properties.
PB Elsevier
SN 1096-0813
YR 2017
FD 2017
LK http://hdl.handle.net/10498/35439
UL http://hdl.handle.net/10498/35439
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026