Hipoelipticidade para operadores lineares com coeficientes constantes
Autor(a) principal: | |
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Data de Publicação: | 2022 |
Tipo de documento: | Dissertação |
Idioma: | por |
Título da fonte: | Repositório Institucional Manancial UFSM |
Texto Completo: | http://repositorio.ufsm.br/handle/1/27764 |
Resumo: | In this dissertation, we wish to present the proof of the Elliptic Regularity Theorem and the characterization of hypoelliptic linear operators with constant coefficients due to Lars Hörmander’s. |
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2023-02-08T15:33:30Z2023-02-08T15:33:30Z2022-12-06http://repositorio.ufsm.br/handle/1/27764In this dissertation, we wish to present the proof of the Elliptic Regularity Theorem and the characterization of hypoelliptic linear operators with constant coefficients due to Lars Hörmander’s.Nesta dissertação, desejamos apresentar a demonstração do Teorema da Regularidade Elíptica e do Teorema de Hörmander de caracterização de operadores lineares hipoelípticos de coeficientes constantes.porUniversidade Federal de Santa MariaCentro de Ciências Naturais e ExatasPrograma de Pós-Graduação em MatemáticaUFSMBrasilMatemáticaAttribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessEquações diferenciaisRegularidadeOperadores hipoelípticosDifferential equationsRegularityHypoelliptic operatorsCNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICAHipoelipticidade para operadores lineares com coeficientes constantesHypoellipticity for linear operators with constant coefficientsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisSilva, Maurício Fronza dahttp://lattes.cnpq.br/0583626847303920Godoi, Juliano Damião Bittencourt deBonorino, Leonardo Prangehttp://lattes.cnpq.br/2520597471773302Kellermann, Nathan100100000008600600600600600cc3640ec-954a-4bf9-968f-f436aa9e2e4a567e23ba-6bdb-42c2-ae34-21f59e053d5f605549b9-4324-4ae3-9dab-174fec45357479399eba-bb6d-471c-8413-85d511b16da2reponame:Repositório Institucional Manancial UFSMinstname:Universidade Federal de Santa Maria (UFSM)instacron:UFSMLICENSElicense.txtlicense.txttext/plain; charset=utf-81956http://repositorio.ufsm.br/bitstream/1/27764/3/license.txt2f0571ecee68693bd5cd3f17c1e075dfMD53ORIGINALDIS_PPGMATEMÁTICA_2022_KELLERMANN_NATHAN.pdfDIS_PPGMATEMÁTICA_2022_KELLERMANN_NATHAN.pdfDissertação de mestradoapplication/pdf718432http://repositorio.ufsm.br/bitstream/1/27764/1/DIS_PPGMATEM%c3%81TICA_2022_KELLERMANN_NATHAN.pdfb437281bcb2325ff8fe29787283ad5b0MD51CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8805http://repositorio.ufsm.br/bitstream/1/27764/2/license_rdf4460e5956bc1d1639be9ae6146a50347MD521/277642023-02-08 12:33:30.341oai:repositorio.ufsm.br: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ório Institucionalhttp://repositorio.ufsm.br/PUBhttp://repositorio.ufsm.br/oai/requestouvidoria@ufsm.bropendoar:39132023-02-08T15:33:30Repositório Institucional Manancial UFSM - Universidade Federal de Santa Maria (UFSM)false |
dc.title.por.fl_str_mv |
Hipoelipticidade para operadores lineares com coeficientes constantes |
dc.title.alternative.eng.fl_str_mv |
Hypoellipticity for linear operators with constant coefficients |
title |
Hipoelipticidade para operadores lineares com coeficientes constantes |
spellingShingle |
Hipoelipticidade para operadores lineares com coeficientes constantes Kellermann, Nathan Equações diferenciais Regularidade Operadores hipoelípticos Differential equations Regularity Hypoelliptic operators CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA |
title_short |
Hipoelipticidade para operadores lineares com coeficientes constantes |
title_full |
Hipoelipticidade para operadores lineares com coeficientes constantes |
title_fullStr |
Hipoelipticidade para operadores lineares com coeficientes constantes |
title_full_unstemmed |
Hipoelipticidade para operadores lineares com coeficientes constantes |
title_sort |
Hipoelipticidade para operadores lineares com coeficientes constantes |
author |
Kellermann, Nathan |
author_facet |
Kellermann, Nathan |
author_role |
author |
dc.contributor.advisor1.fl_str_mv |
Silva, Maurício Fronza da |
dc.contributor.advisor1Lattes.fl_str_mv |
http://lattes.cnpq.br/0583626847303920 |
dc.contributor.referee1.fl_str_mv |
Godoi, Juliano Damião Bittencourt de |
dc.contributor.referee2.fl_str_mv |
Bonorino, Leonardo Prange |
dc.contributor.authorLattes.fl_str_mv |
http://lattes.cnpq.br/2520597471773302 |
dc.contributor.author.fl_str_mv |
Kellermann, Nathan |
contributor_str_mv |
Silva, Maurício Fronza da Godoi, Juliano Damião Bittencourt de Bonorino, Leonardo Prange |
dc.subject.por.fl_str_mv |
Equações diferenciais Regularidade Operadores hipoelípticos |
topic |
Equações diferenciais Regularidade Operadores hipoelípticos Differential equations Regularity Hypoelliptic operators CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA |
dc.subject.eng.fl_str_mv |
Differential equations Regularity Hypoelliptic operators |
dc.subject.cnpq.fl_str_mv |
CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA |
description |
In this dissertation, we wish to present the proof of the Elliptic Regularity Theorem and the characterization of hypoelliptic linear operators with constant coefficients due to Lars Hörmander’s. |
publishDate |
2022 |
dc.date.issued.fl_str_mv |
2022-12-06 |
dc.date.accessioned.fl_str_mv |
2023-02-08T15:33:30Z |
dc.date.available.fl_str_mv |
2023-02-08T15:33:30Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/masterThesis |
format |
masterThesis |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://repositorio.ufsm.br/handle/1/27764 |
url |
http://repositorio.ufsm.br/handle/1/27764 |
dc.language.iso.fl_str_mv |
por |
language |
por |
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100100000008 |
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600 600 600 600 600 |
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Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess |
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Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/ |
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openAccess |
dc.publisher.none.fl_str_mv |
Universidade Federal de Santa Maria Centro de Ciências Naturais e Exatas |
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Programa de Pós-Graduação em Matemática |
dc.publisher.initials.fl_str_mv |
UFSM |
dc.publisher.country.fl_str_mv |
Brasil |
dc.publisher.department.fl_str_mv |
Matemática |
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Universidade Federal de Santa Maria Centro de Ciências Naturais e Exatas |
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