Electron. J. Differential Equations, Vol. 2017 (2017), No. 195, pp. 1-5.

Remarks on the preceding paper by Crespo, Ivorra and Ramos on the stability of bioreactor processes

Jesus Ildefonso Diaz

Abstract:
In this short note we indicate some improvement of an article published in this journal by Crespo, Ivorra and Ramos [6]. The techniques used are connected with several smoothing effects associated with linear partial differential operators which give rise to some accretive operators in $L^1(\Omega )$, as well as with some $H^2(\Omega )$ estimates independent on time.

Submitted July 2, 2017. Published August 7, 2017.
Math Subject Classifications: 35K51, 47D03.
Key Words: Asymptotic stability; advection-diffusion-reaction system; continuous bioreactor; accretive operator; smoothing effects for parabolic equations.

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Jesús Ildefonso Díaz
Instituto de Matematica Interdisciplinar
Universidad Complutense de Madrid
28040 Madrid, Spain
email: ildefonso.diaz@mat.ucm.es

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