## Abstract and Applied Analysis

### 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 ${C}_{0}$-semigroups of operators. We will study this notion of chaos for some examples of ${C}_{0}$-semigroups that are already known to be Devaney chaotic.

#### Article information

Source
Abstr. Appl. Anal., Volume 2012 (2012), Article ID 457019, 11 pages.

Dates
First available in Project Euclid: 28 March 2013

https://projecteuclid.org/euclid.aaa/1364476002

Digital Object Identifier
doi:10.1155/2012/457019

Mathematical Reviews number (MathSciNet)
MR3004904

Zentralblatt MATH identifier
1256.37027

#### Citation

Barrachina, Xavier; Conejero, J. Alberto. Devaney Chaos and Distributional Chaos in the Solution of Certain Partial Differential Equations. Abstr. Appl. Anal. 2012 (2012), Article ID 457019, 11 pages. doi:10.1155/2012/457019. https://projecteuclid.org/euclid.aaa/1364476002

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