Local solvability of elliptic equations of even order with Holder coefficients

Autores
Muschietti, Maria Amelia; Tournier, Federico
Año de publicación
2020
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We consider elliptic equations of order 2m with Hölder coefficients. We show local solvability of the Dirichlet problem with m conditions on the boundary of the upper half space. First we consider local solvability in free space and then we treat the boundary case. Our method is based on applying the operator to an approximate solution and iterating in the Hölder spaces. A priori estimates for the approximate solution is the essential part of the paper.
Fil: Muschietti, Maria Amelia. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina
Fil: Tournier, Federico. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina
Materia
HIGHER ORDER ELLIPTIC EQUATIONS
A PRIORI ESTIMATES
HOLDER COEFFICIENTS
BOUNDARY ESTIMATES
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:11336/108149
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/108149
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Local solvability of elliptic equations of even order with Holder coefficientsMuschietti, Maria AmeliaTournier, FedericoHIGHER ORDER ELLIPTIC EQUATIONSA PRIORI ESTIMATESHOLDER COEFFICIENTSBOUNDARY ESTIMATEShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We consider elliptic equations of order 2m with Hölder coefficients. We show local solvability of the Dirichlet problem with m conditions on the boundary of the upper half space. First we consider local solvability in free space and then we treat the boundary case. Our method is based on applying the operator to an approximate solution and iterating in the Hölder spaces. A priori estimates for the approximate solution is the essential part of the paper.Fil: Muschietti, Maria Amelia. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; ArgentinaFil: Tournier, Federico. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; ArgentinaUnión Matemática Argentina2020-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/108149Muschietti, Maria Amelia; Tournier, Federico; Local solvability of elliptic equations of even order with Holder coefficients; Unión Matemática Argentina; Revista de la Unión Matemática Argentina; 61; 1; 2-2020; 1-470041-69321669-9637CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://inmabb.criba.edu.ar/revuma/revuma.php?p=doi/v61n1a01info:eu-repo/semantics/altIdentifier/doi/10.33044/revuma.v61n1a01info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:54:05Zoai:ri.conicet.gov.ar:11336/108149instacron: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:34982025-09-03 09:54:05.387CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Local solvability of elliptic equations of even order with Holder coefficients
title Local solvability of elliptic equations of even order with Holder coefficients
spellingShingle Local solvability of elliptic equations of even order with Holder coefficients
Muschietti, Maria Amelia
HIGHER ORDER ELLIPTIC EQUATIONS
A PRIORI ESTIMATES
HOLDER COEFFICIENTS
BOUNDARY ESTIMATES
title_short Local solvability of elliptic equations of even order with Holder coefficients
title_full Local solvability of elliptic equations of even order with Holder coefficients
title_fullStr Local solvability of elliptic equations of even order with Holder coefficients
title_full_unstemmed Local solvability of elliptic equations of even order with Holder coefficients
title_sort Local solvability of elliptic equations of even order with Holder coefficients
dc.creator.none.fl_str_mv Muschietti, Maria Amelia
Tournier, Federico
author Muschietti, Maria Amelia
author_facet Muschietti, Maria Amelia
Tournier, Federico
author_role author
author2 Tournier, Federico
author2_role author
dc.subject.none.fl_str_mv HIGHER ORDER ELLIPTIC EQUATIONS
A PRIORI ESTIMATES
HOLDER COEFFICIENTS
BOUNDARY ESTIMATES
topic HIGHER ORDER ELLIPTIC EQUATIONS
A PRIORI ESTIMATES
HOLDER COEFFICIENTS
BOUNDARY ESTIMATES
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We consider elliptic equations of order 2m with Hölder coefficients. We show local solvability of the Dirichlet problem with m conditions on the boundary of the upper half space. First we consider local solvability in free space and then we treat the boundary case. Our method is based on applying the operator to an approximate solution and iterating in the Hölder spaces. A priori estimates for the approximate solution is the essential part of the paper.
Fil: Muschietti, Maria Amelia. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina
Fil: Tournier, Federico. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina
description We consider elliptic equations of order 2m with Hölder coefficients. We show local solvability of the Dirichlet problem with m conditions on the boundary of the upper half space. First we consider local solvability in free space and then we treat the boundary case. Our method is based on applying the operator to an approximate solution and iterating in the Hölder spaces. A priori estimates for the approximate solution is the essential part of the paper.
publishDate 2020
dc.date.none.fl_str_mv 2020-02
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/11336/108149
Muschietti, Maria Amelia; Tournier, Federico; Local solvability of elliptic equations of even order with Holder coefficients; Unión Matemática Argentina; Revista de la Unión Matemática Argentina; 61; 1; 2-2020; 1-47
0041-6932
1669-9637
CONICET Digital
CONICET
url http://hdl.handle.net/11336/108149
identifier_str_mv Muschietti, Maria Amelia; Tournier, Federico; Local solvability of elliptic equations of even order with Holder coefficients; Unión Matemática Argentina; Revista de la Unión Matemática Argentina; 61; 1; 2-2020; 1-47
0041-6932
1669-9637
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://inmabb.criba.edu.ar/revuma/revuma.php?p=doi/v61n1a01
info:eu-repo/semantics/altIdentifier/doi/10.33044/revuma.v61n1a01
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 Unión Matemática Argentina
publisher.none.fl_str_mv Unión Matemática Argentina
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
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score 13.13397

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