Linear Chaos and Approximation

Authors: deLaubenfels R.¹; Emamirad H.²; Protopopescu V.³

Source: Journal of Approximation Theory, Volume 105, Number 1, July 2000 , pp. 176-187(12)

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Abstract:

Let {T_n(t)}_n=1 be a sequence of strongly continuous linear semigroups on Banach spaces X_n converging in the sense of Kato to a semigroup T(t) on the Banach space X. We discuss under what conditions the chaoticity of T_n(t) is inherited by T(t). We apply our results to a discrete parabolic equation. Copyright 2000 Academic Press.

Keywords: hypercyclic and chaotic semigroups; approximation in the sense of Kato; convection-diffusion equation

Language: English

Document Type: Research article

Affiliations: 1: Scientia Research Institute, Athens, Ohio, 45701, USA 2: Laboratoire de Modélisation Mécanique et de Mathématiques Appliquées, Futuroscope, Cedex, F 86950, France 3: Computer Science and Mathematics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee, 37831-6364, USA

Publication date: 2000-07-01