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dc.contributor.CRUESPUNIVERSIDADE ESTADUAL DE CAMPINASpt_BR
dc.contributor.authorunicampOlivera, Christian Horacio-
dc.typeArtigopt_BR
dc.titleRegularization by noise in one-dimensional continuity equationpt_BR
dc.contributor.authorOlivera, Christian-
dc.subjectEquações diferenciais estocásticaspt_BR
dc.subject.otherlanguageStochastic differential equationspt_BR
dc.description.abstractA linear stochastic continuity equation with non-regular coefficients is considered. We prove existence and uniqueness of strong solution, in the probabilistic sense, to the Cauchy problem when the vector field has low regularity, in which the classical DiPerna-Lions-Ambrosio theory of uniqueness of distributional solutions does not apply. We solve partially the open problem that is the case when the vector-field has random dependence. In addition, we prove a stability result for the solutionspt_BR
dc.relation.ispartofPotential analysispt_BR
dc.publisher.cityDordrechtpt_BR
dc.publisher.countryPaíses Baixospt_BR
dc.publisherSpringerpt_BR
dc.date.issued2019-
dc.date.monthofcirculationJulypt_BR
dc.language.isoengpt_BR
dc.description.volume51pt_BR
dc.description.issuenumber1pt_BR
dc.description.firstpage23pt_BR
dc.description.lastpage35pt_BR
dc.rightsFechadopt_BR
dc.sourceWOSpt_BR
dc.identifier.issn0926-2601pt_BR
dc.identifier.eissn1572-929Xpt_BR
dc.identifier.doi10.1007/s11118-018-9700-zpt_BR
dc.identifier.urlhttps://link.springer.com/article/10.1007%2Fs11118-018-9700-zpt_BR
dc.description.sponsorshipFUNDAÇÃO DE AMPARO À PESQUISA DO ESTADO DE SÃO PAULO - FAPESPpt_BR
dc.description.sponsordocumentnumber2017/17670-0; 2015/07278-Opt_BR
dc.date.available2020-03-19T22:03:28Z-
dc.date.accessioned2020-03-19T22:03:28Z-
dc.description.provenanceSubmitted by Cintia Oliveira de Moura (cintiaom@unicamp.br) on 2020-03-19T22:03:28Z No. of bitstreams: 0. Added 1 bitstream(s) on 2020-07-20T14:18:33Z : No. of bitstreams: 1 000475709900002.pdf: 532861 bytes, checksum: d7053cca5156e32f539879224210976f (MD5)en
dc.description.provenanceMade available in DSpace on 2020-03-19T22:03:28Z (GMT). No. of bitstreams: 0 Previous issue date: 2019en
dc.identifier.urihttp://repositorio.unicamp.br/jspui/handle/REPOSIP/336963-
dc.contributor.departmentDepartamento de Matemáticapt_BR
dc.contributor.unidadeInstituto de Matemática, Estatística e Computação Científicapt_BR
dc.subject.keywordStochastic partial differential equationpt_BR
dc.subject.keywordContinuity equationpt_BR
dc.subject.keywordRegularization by noisept_BR
dc.subject.keywordIto-Wentzell-Kunita formulapt_BR
dc.subject.keywordLow regularitypt_BR
dc.identifier.source475709900002pt_BR
dc.creator.orcid0000-0002-9943-7098pt_BR
dc.type.formArtigo de Periódicopt_BR
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