2024-03-29T12:55:02Zhttps://repositori.uji.es/oai/requestoai:repositori.uji.es:10234/1698912022-02-03T10:13:02Zcom_10234_7037com_10234_9col_10234_8635
Repositori UJI
author
Conejero, J. Alberto
author
Lizama, Carlos
author
murillo arcila, marina
2017-11-07T13:38:37Z
2017-11-07T13:38:37Z
2017-12
CONEJERO, J. Alberto; LIZAMA, Carlos; MURILLO-ARCILA, Marina. Chaotic semigroups from second order partial differential equations. Journal of Mathematical Analysis and Applications, 2017, vol. 456, no 1, p. 402-411.
http://hdl.handle.net/10234/169891
https://doi.org/10.1016/j.jmaa.2017.07.013
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 parameter that led us to distinguish between stability and chaos for these semigroups. In the case of chaos, we prove that the Co-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.
eng
© 2017 Elsevier Inc. All rights reserved.
Devaney chaos
Hypercyclicity
Co-semigroups
Dynamics of Co-semigroups
Telegraph equation
Chaotic semigroups from second order partial differential equations
info:eu-repo/semantics/article
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lizama_2017.pdf.txt