Convergence of dynamic programming principles for the p-Laplacian

del Teso, Félix; Manfredi, Juan J.; Parviainen, Mikko

doi:10.1515/acv-2019-0043

dc.contributor.author	del Teso, Félix
dc.contributor.author	Manfredi, Juan J.
dc.contributor.author	Parviainen, Mikko
dc.date.accessioned	2020-04-17T04:38:58Z
dc.date.available	2020-04-17T04:38:58Z
dc.date.issued	2022
dc.identifier.citation	del Teso, F., Manfredi, J. J., & Parviainen, M. (2022). Convergence of dynamic programming principles for the p-Laplacian. <i>Advances in Calculus of Variations</i>, <i>15</i>(2), 191-212. <a href="https://doi.org/10.1515/acv-2019-0043" target="_blank">https://doi.org/10.1515/acv-2019-0043</a>
dc.identifier.other	CONVID_35081270
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/68568
dc.description.abstract	We provide a unified strategy to show that solutions of dynamic programming principles associated to the p-Laplacian converge to the solution of the corresponding Dirichlet problem. Our approach includes all previously known cases for continuous and discrete dynamic programming principles, provides new results, and gives a convergence proof free of probability arguments.	en
dc.format.mimetype	application/pdf
dc.language	eng
dc.language.iso	eng
dc.publisher	De Gruyter
dc.relation.ispartofseries	Advances in Calculus of Variations
dc.rights	In Copyright
dc.subject.other	Dirichlet problem
dc.subject.other	dynamic programming principle
dc.subject.other	discrete approximations
dc.subject.other	asymptotic mean value properties
dc.subject.other	convergence
dc.subject.other	monotone approximations
dc.subject.other	viscosity solution
dc.subject.other	generalized viscosity solution
dc.subject.other	equivalent notions of solutions
dc.subject.other	numerical methods
dc.title	Convergence of dynamic programming principles for the p-Laplacian
dc.type	research article
dc.identifier.urn	URN:NBN:fi:jyu-202004172791
dc.contributor.laitos	Matematiikan ja tilastotieteen laitos	fi
dc.contributor.laitos	Department of Mathematics and Statistics	en
dc.contributor.oppiaine	Matematiikka	fi
dc.contributor.oppiaine	Analyysin ja dynamiikan tutkimuksen huippuyksikkö	fi
dc.contributor.oppiaine	Mathematics	en
dc.contributor.oppiaine	Analysis and Dynamics Research (Centre of Excellence)	en
dc.type.uri	http://purl.org/eprint/type/JournalArticle
dc.type.coar	http://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatus	peerReviewed
dc.format.pagerange	191-212
dc.relation.issn	1864-8258
dc.relation.numberinseries	2
dc.relation.volume	15
dc.type.version	acceptedVersion
dc.rights.copyright	© 2020 Walter de Gruyter GmbH, Berlin/Boston
dc.rights.accesslevel	openAccess	fi
dc.type.publication	article
dc.relation.grantnumber	298641
dc.subject.yso	osittaisdifferentiaaliyhtälöt
dc.subject.yso	approksimointi
dc.subject.yso	numeeriset menetelmät
dc.format.content	fulltext
jyx.subject.uri	http://www.yso.fi/onto/yso/p12392
jyx.subject.uri	http://www.yso.fi/onto/yso/p4982
jyx.subject.uri	http://www.yso.fi/onto/yso/p6588
dc.rights.url	http://rightsstatements.org/page/InC/1.0/?language=en
dc.relation.doi	10.1515/acv-2019-0043
dc.relation.funder	Research Council of Finland	en
dc.relation.funder	Suomen Akatemia	fi
jyx.fundingprogram	Academy Project, AoF	en
jyx.fundingprogram	Akatemiahanke, SA	fi
jyx.fundinginformation	The first author is supported by the Toppforsk (research excellence) project Waves and Nonlinear Phenomena (WaNP), grant no. 250070 from the Research Council of Norway, and by the grant PGC2018-094522-B-I00 from the MICINN of the Spanish Government. The third author is supported by the Academy of Finland project no. 298641.
dc.type.okm	A1