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 | |