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Linear dynamics of semigroups generated by differential operators

Alberto Conejero J., Lizama Carlos, Murillo-Arcila Marina and 1 more

Open Mathematics · 2017

doi:10.1515/math-2017-0065 (opens in a new tab)

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Abstract

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 sense of Li-Yorke, subchaos, mixing and weakly mixing properties, and frequent hypercyclicity, among others. These notions have been extended, as far as possible, to the setting of C0-semigroups of linear and continuous operators.

Abstract licence: CC BY

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