Existence and Uniqueness results for linear second-order equations in the Heisenberg group

Autores
Ochoa, Pablo Daniel; Ruiz, Julio Alejo
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this manuscript, we prove uniqueness and existence results of viscosity solutions for a class of linear second-order equations in the Heisenberg group. We state uniqueness by proving a comparison result to our class of equations, and existence via an application of Perron’s method adapted to our framework. We also provide the explicit construction of the appropriate sub- and supersolutions employed by Perron’s method for a variety of domains in the Heisenberg group.
Fil: Ochoa, Pablo Daniel. Universidad Nacional de Cuyo. Facultad de Ingeniería; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Ruiz, Julio Alejo. Universidad Nacional de Cuyo. Facultad de Ingeniería; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
PDE
HEISENBERG GROUP
VISCOSITY SOLUTIONS
COMPARISON PRINCIPLE
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/33908
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/33908
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Existence and Uniqueness results for linear second-order equations in the Heisenberg groupOchoa, Pablo DanielRuiz, Julio AlejoPDEHEISENBERG GROUPVISCOSITY SOLUTIONSCOMPARISON PRINCIPLEhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this manuscript, we prove uniqueness and existence results of viscosity solutions for a class of linear second-order equations in the Heisenberg group. We state uniqueness by proving a comparison result to our class of equations, and existence via an application of Perron’s method adapted to our framework. We also provide the explicit construction of the appropriate sub- and supersolutions employed by Perron’s method for a variety of domains in the Heisenberg group.Fil: Ochoa, Pablo Daniel. Universidad Nacional de Cuyo. Facultad de Ingeniería; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Ruiz, Julio Alejo. Universidad Nacional de Cuyo. Facultad de Ingeniería; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaSuomalainen Tiedeakatemia2017-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/33908Ochoa, Pablo Daniel; Ruiz, Julio Alejo; Existence and Uniqueness results for linear second-order equations in the Heisenberg group; Suomalainen Tiedeakatemia; Annales Academiae Scientiarum Fennicae. Mathematica; 42; 7-2017; 1065–10831239-629X1798-2383CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://www.acadsci.fi/mathematica/Vol42/vol42pp1065-1083.pdfinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-11-05T09:48:59Zoai:ri.conicet.gov.ar:11336/33908instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-11-05 09:48:59.308CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Existence and Uniqueness results for linear second-order equations in the Heisenberg group
title Existence and Uniqueness results for linear second-order equations in the Heisenberg group
spellingShingle Existence and Uniqueness results for linear second-order equations in the Heisenberg group
Ochoa, Pablo Daniel
PDE
HEISENBERG GROUP
VISCOSITY SOLUTIONS
COMPARISON PRINCIPLE
title_short Existence and Uniqueness results for linear second-order equations in the Heisenberg group
title_full Existence and Uniqueness results for linear second-order equations in the Heisenberg group
title_fullStr Existence and Uniqueness results for linear second-order equations in the Heisenberg group
title_full_unstemmed Existence and Uniqueness results for linear second-order equations in the Heisenberg group
title_sort Existence and Uniqueness results for linear second-order equations in the Heisenberg group
dc.creator.none.fl_str_mv Ochoa, Pablo Daniel
Ruiz, Julio Alejo
author Ochoa, Pablo Daniel
author_facet Ochoa, Pablo Daniel
Ruiz, Julio Alejo
author_role author
author2 Ruiz, Julio Alejo
author2_role author
dc.subject.none.fl_str_mv PDE
HEISENBERG GROUP
VISCOSITY SOLUTIONS
COMPARISON PRINCIPLE
topic PDE
HEISENBERG GROUP
VISCOSITY SOLUTIONS
COMPARISON PRINCIPLE
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In this manuscript, we prove uniqueness and existence results of viscosity solutions for a class of linear second-order equations in the Heisenberg group. We state uniqueness by proving a comparison result to our class of equations, and existence via an application of Perron’s method adapted to our framework. We also provide the explicit construction of the appropriate sub- and supersolutions employed by Perron’s method for a variety of domains in the Heisenberg group.
Fil: Ochoa, Pablo Daniel. Universidad Nacional de Cuyo. Facultad de Ingeniería; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Ruiz, Julio Alejo. Universidad Nacional de Cuyo. Facultad de Ingeniería; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description In this manuscript, we prove uniqueness and existence results of viscosity solutions for a class of linear second-order equations in the Heisenberg group. We state uniqueness by proving a comparison result to our class of equations, and existence via an application of Perron’s method adapted to our framework. We also provide the explicit construction of the appropriate sub- and supersolutions employed by Perron’s method for a variety of domains in the Heisenberg group.
publishDate 2017
dc.date.none.fl_str_mv 2017-07
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/33908
Ochoa, Pablo Daniel; Ruiz, Julio Alejo; Existence and Uniqueness results for linear second-order equations in the Heisenberg group; Suomalainen Tiedeakatemia; Annales Academiae Scientiarum Fennicae. Mathematica; 42; 7-2017; 1065–1083
1239-629X
1798-2383
CONICET Digital
CONICET
url http://hdl.handle.net/11336/33908
identifier_str_mv Ochoa, Pablo Daniel; Ruiz, Julio Alejo; Existence and Uniqueness results for linear second-order equations in the Heisenberg group; Suomalainen Tiedeakatemia; Annales Academiae Scientiarum Fennicae. Mathematica; 42; 7-2017; 1065–1083
1239-629X
1798-2383
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.acadsci.fi/mathematica/Vol42/vol42pp1065-1083.pdf
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Suomalainen Tiedeakatemia
publisher.none.fl_str_mv Suomalainen Tiedeakatemia
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1847977179670904832
score 13.121305

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