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Backward Ornstein-Uhlenbeck Transition Operators and Mild Solutions of Non-Autonomous Hamilton-Jacobi Equations in Banach Spaces
| dc.contributor.gruplac | Facultad de Economía | spa |
| dc.creator | Serrano Perdomo, Rafael Antonio | |
| dc.creator.google | Serrano, Rafael | |
| dc.date.accessioned | 2018-02-19T14:44:01Z | |
| dc.date.available | 2018-02-19T14:44:01Z | |
| dc.date.created | 2014-10-09 | |
| dc.date.issued | 2014 | |
| dc.description.abstract | In this paper we revisit the mild-solution approach to second-order semi-linear PDEs of Hamilton-Jacobi type in infinite-dimensional spaces. We show that a well-known result on existence of mild solutions in Hilbert spaces can be easily extended to non-autonomous Hamilton-Jacobi equations in Banach spaces. The main tool is the regularizing property of Ornstein-Uhlenbeck transition evolution operators for stochastic Cauchy problems in Banach spaces with time-dependent coefficients. | eng |
| dc.format.mimetype | application/pdf | |
| dc.identifier.issn | 1916-9809 | |
| dc.identifier.uri | http://repository.urosario.edu.co/handle/10336/14405 | |
| dc.language.iso | eng | |
| dc.relation.citationEndPage | 76 | |
| dc.relation.citationIssue | No. 4 | |
| dc.relation.citationStartPage | 55 | |
| dc.relation.citationTitle | Journal Of Mathematics Research | |
| dc.relation.citationVolume | Vol. 6 | |
| dc.relation.ispartof | Journal Of Mathematics Research, ISSN 1916-9795, Vol. 6, No. 4, (2014); pp. 55-76 | spa |
| dc.relation.uri | http://www.ccsenet.org/journal/index.php/jmr/article/view/41409/22688 | |
| dc.rights.accesRights | info:eu-repo/semantics/openAccess | |
| dc.rights.acceso | Abierto (Texto Completo) | spa |
| dc.rights.uri | http://www.sherpa.ac.uk/romeo/issn/1916-9795/ | |
| dc.source.instname | instname:Universidad del Rosario | |
| dc.source.reponame | reponame:Repositorio Institucional EdocUR | |
| dc.subject | Ornstein-Uhlenbeck Processes | spa |
| dc.subject | Infinite-Dimensional Hamilton-Jacobi Equations | spa |
| dc.subject | Mild Solution | spa |
| dc.subject | Regularizing Property | spa |
| dc.subject | Banach Spaces | spa |
| dc.subject.ddc | Probabilidades & matemáticas aplicadas | |
| dc.subject.lemb | Sistemas estocásticos | spa |
| dc.subject.lemb | Sistemas de Hamilton | spa |
| dc.title | Backward Ornstein-Uhlenbeck Transition Operators and Mild Solutions of Non-Autonomous Hamilton-Jacobi Equations in Banach Spaces | spa |
| dc.type | article | eng |
| dc.type.hasVersion | info:eu-repo/semantics/publishedVersion | |
| dc.type.spa | Artículo | spa |
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