Devaney chaos and distributional chaos in the solution of certain partial differential equations

Abstract

The notion of distributional chaos has been recently added to the study of the linear dynamics of operators and C0-semigroups of operators. We will study this notion of chaos for some examples of C0-semigroups that are already known to be Devaney chaotic. © 2012 Xavier Barrachina and J. Alberto Conejero.This work is supported in part by MEC and FEDER, Project MTM2010-14909, by Generalitat Valenciana, Project GV/2010/091, and by Universitat Politecnica de Valencia, Project PAID-06-09-2932. X. Barrachina also wants to acknowledge the support of the Grant FPI-UPV 2009-04 from Programa de Ayudas de Investigacion y Desarrollo de la Universitat Politecnica de Valencia. The authors also thank the referees for helpful comments that improved the presentation of the paper.Barrachina Civera, X.; Conejero Casares, JA. (2012). Devaney chaos and distributional chaos in the solution of certain partial differential equations. Abstract and Applied Analysis. 2012:1-11. https://doi.org/10.1155/2012/457019111201

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