Infinite horizon optimal control for a general class of semilinear parabolic equations

Casas Rentería, Eduardo; Kunisch, Karl

doi:10.1007/s00245-023-10006-4

dc.contributor.author	Casas Rentería, Eduardo
dc.contributor.author	Kunisch, Karl
dc.contributor.other	Universidad de Cantabria	es_ES
dc.date.accessioned	2023-06-12T18:26:40Z
dc.date.available	2023-06-12T18:26:40Z
dc.date.issued	2023-10
dc.identifier.issn	0095-4616
dc.identifier.issn	1432-0606
dc.identifier.other	PID2020-114837GB-I00	es_ES
dc.identifier.uri	https://hdl.handle.net/10902/29303
dc.description.abstract	A class of infinite horizon optimal control problems subject to semilinear parabolic equations is investigated. First and second order optimality conditions are obtained, in the presence of constraints on the controls, which can be either pointwise in space-time, or pointwise in time and L2 in space. These results rely on a new L∞ estimate for nonlinear parabolic equations in an essential manner.	es_ES
dc.description.sponsorship	Eduardo Casas was supported by MCIN/ AEI/10.13039/501100011033/ under research Project PID2020-114837GB-I00.	es_ES
dc.format.extent	36 p.	es_ES
dc.language.iso	eng	es_ES
dc.publisher	Springer	es_ES
dc.rights	Attribution 4.0 International	es_ES
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/	*
dc.source	Applied Mathematics and Optimization, 2023, 88(2), 47	es_ES
dc.subject.other	Infinite horizon optimal control	es_ES
dc.subject.other	Semilinear parabolic equations	es_ES
dc.subject.other	First and second order optimality conditions	es_ES
dc.subject.other	L∞ regularity	es_ES
dc.title	Infinite horizon optimal control for a general class of semilinear parabolic equations	es_ES
dc.type	info:eu-repo/semantics/article	es_ES
dc.relation.publisherVersion	https://doi.org/10.1007/s00245-023-10006-4	es_ES
dc.rights.accessRights	openAccess	es_ES
dc.identifier.DOI	10.1007/s00245-023-10006-4
dc.type.version	publishedVersion	es_ES