Repositorio de producción científica de la Universidad de Sevilla

Controlling linear and semilinear systems formed by one elliptic and two parabolic PDEs with one scalar control

 

Advanced Search
 
Opened Access Controlling linear and semilinear systems formed by one elliptic and two parabolic PDEs with one scalar control
Cites

Show item statistics
Icon
Export to
Author: Fernández Cara, Enrique
Limaco Ferrel, Juan
Dias Bezerra de Menezes, Silvano
Department: Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico
Date: 2016
Published in: ESAIM: Control, Optimisation and Calculus of Variations, Special Issue in honor of Jean-Michel Coron for his 60th birthday, 1-23.
Document type: Article
Abstract: In this paper, we prove controllability results for some linear and semilinear systems where we find two parabolic PDEs and one elliptic PDE and we act through one locally supported in space scalar control. The arguments rely on a careful analysis of the linear case and an application of an inverse function theorem. The facts that we act through a single scalar control and one of the PDEs has no time derivative are the main novelties and introduce several nontrivial difficulties.
Cite: Fernández Cara, E., Limaco Ferrel, J. y Dias Bezerra de Menezes, S. (2016). Controlling linear and semilinear systems formed by one elliptic and two parabolic PDEs with one scalar control. ESAIM: Control, Optimisation and Calculus of Variations, Special Issue in honor of Jean-Michel Coron for his 60th birthday, 1-23.
Size: 338.5Kb
Format: PDF

URI: http://hdl.handle.net/11441/47793

DOI: 10.1051/cocv/2016031

See editor´s version

This work is under a Creative Commons License: 
Attribution-NonCommercial-NoDerivatives 4.0 Internacional

This item appears in the following Collection(s)