Chaotic $C_0$-semigroups induced by semiflows in Lebesgue and Sobolev spaces

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Abstract

We give characterizations of chaos for $C_0$-semigroups induced by semiflows on $L^p_rho(Omega)$ for open $OmegasubseteqR$ similar to the characterizations of hypercyclicity and mixing of such $C_0$-semigroups proved in cite{kalmes2009hypercyclic}. Moreover, we characterize hypercyclicity, mixing, and chaos for these classes of $C_0$-semigroups on $W^{1,p}_*(I)$ for a bounded interval $IsubsetR$ and prove that these $C_0$-semigroups are never hypercyclic on $W^{1,p}(I)$. We apply our results to concrete first order partial differential equations, such as the von Foerster-Lasota equation.

Autore Pugliese

Tutti gli autori

  • J. Aroza , T. Kalmes , E. M. Mangino

Titolo volume/Rivista

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Anno di pubblicazione

2014

ISSN

0022-247X

ISBN

Non Disponibile

Numero di citazioni Wos

7

Ultimo Aggiornamento Citazioni

28/04/2018

Numero di citazioni Scopus

7

Ultimo Aggiornamento Citazioni

28/04/2018

Settori ERC

Non Disponibile

Codici ASJC

Non Disponibile