On the approximate controllability of parabolic problems with non-smooth coefficients

Article type: Research Article

Authors: Donato, Patrizia^{a; *} | Jose, Editha C.^b | Onofrei, Daniel^c

Affiliations: [a] Université de Rouen Normandie, Laboratoire de Mathématiques Raphaël Salem, UMR CNRS 6085, Avenue de l’Université, BP 12, 76801 Saint Étienne de Rouvray, France. E-mail: Patrizia.Donato@univ-rouen.fr | [b] Institute of Mathematical Sciences and Physics, University of the Philippines Los Baños, Philippines. E-mail: ecjose1@up.edu.ph | [c] Department of Mathematics, University of Houston, Houston, Texas, USA. E-mail: DTonofre@central.uh.edu

Correspondence: [*] Corresponding author. E-mail: Patrizia.Donato@univ-rouen.fr.

Abstract: In this paper we prove the existence of approximate controls for certain classes of parabolic problems with non-smooth coefficients and discuss as examples the problem of approximate controllability for the heat flow in heterogeneous media such as, periodic composites, perforated domains or periodic microstructures separated by rough interfaces.

Keywords: Parabolic equations, approximate control, non-smooth coefficients, homogenization

DOI: 10.3233/ASY-201623

Journal: Asymptotic Analysis, vol. 122, no. 3-4, pp. 395-402, 2021