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

Fernández Cara, Enrique; Limaco Ferrel, Juan; Dias Bezerra de Menezes, Silvano

doi:10.1051/cocv/2016031

Artículo

dc.creator	Fernández Cara, Enrique	es
dc.creator	Limaco Ferrel, Juan	es
dc.creator	Dias Bezerra de Menezes, Silvano	es
dc.date.accessioned	2016-10-20T06:22:44Z
dc.date.available	2016-10-20T06:22:44Z
dc.date.issued	2016
dc.identifier.citation	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.
dc.identifier.issn	1292-8119	es
dc.identifier.issn	1262-3377	es
dc.identifier.uri	http://hdl.handle.net/11441/47793
dc.description.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.	es
dc.description.sponsorship	Ministerio de Economía y Competitividad	es
dc.format	application/pdf	es
dc.language.iso	eng	es
dc.publisher	EDP Sciences	es
dc.relation.ispartof	ESAIM: Control, Optimisation and Calculus of Variations, Special Issue in honor of Jean-Michel Coron for his 60th birthday, 1-23.
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	Null controllability	es
dc.subject	Parabolic-elliptic linear and semilinear systems	es
dc.subject	Carleman estimates	es
dc.title	Controlling linear and semilinear systems formed by one elliptic and two parabolic PDEs with one scalar control	es
dc.type	info:eu-repo/semantics/article	es
dcterms.identifier	https://ror.org/03yxnpp24
dc.type.version	info:eu-repo/semantics/publishedVersion	es
dc.rights.accessRights	info:eu-repo/semantics/openAccess	es
dc.contributor.affiliation	Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico	es
dc.relation.projectID	info:eu-repo/grantAgreement/MINECO/MTM2013-41286-P	es
dc.relation.publisherversion	http://www.esaim-cocv.org/articles/cocv/pdf/first/cocv160031-s.pdf	es
dc.identifier.doi	10.1051/cocv/2016031	es
dc.contributor.group	Universidad de Sevilla. FQM131: Ec.diferenciales,Simulación Num.y Desarrollo Software	es
idus.format.extent	23 p.	es
dc.journaltitle	ESAIM: Control, Optimisation and Calculus of Variations	es
dc.publication.volumen	Special Issue in honor of Jean-Michel Coron for his 60th birthday	es
dc.publication.initialPage	1	es
dc.publication.endPage	23	es
dc.identifier.idus	https://idus.us.es/xmlui/handle/11441/47793
dc.contributor.funder	Ministerio de Economía y Competitividad (MINECO). España

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