Distributionally chaotic translation semigroups

• Published in: Journal of difference equations and applications Vol. 18; no. 4; pp. 751 - 761
• Main Authors: Barrachina, Xavier, Peris, Alfred
• Format: Journal Article
• Language: English
• Published: Abingdon Taylor & Francis Group 01.04.2012; Taylor & Francis Ltd
• Subjects: backward shift operator; Differential equations; distributional chaos; Mathematics; semigroup; semigroups; translation C

We study distributional chaos for the translation C 0 -semigroup on weighted L p -spaces. Some sufficient conditions for distributional chaos expressed in terms of the weight are given. Moreover, we establish a complete analogy between the study on distributional chaos for the translation C 0 -semig...