Transmission problems for simply connected domains in the complex plane

We study existence and uniqueness of a transmission problem in simply connected domains in the plane with data in weighted Lebesgue spaces by first investigating solvability results of a related novel problem associated to a homeomorphism in the real line and domains given by the upper and lower hal...

Descripción completa

Detalles Bibliográficos
Autores: Carro Rossell, María Jesús, Naibo, Virginia, Soria Carro, María
Tipo de recurso: artículo
Fecha de publicación:2025
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/130247
Acceso en línea:https://hdl.handle.net/20.500.14352/130247
Access Level:acceso abierto
Palabra clave:Transmission problems
Graph simply connected domains
Conformal maps
Muckenhoupt weights
Matemáticas (Matemáticas)
Análisis matemático
12 Matemáticas
id ES_a2029c8cb0fe2bda8a0fa84ae365752a
oai_identifier_str oai:docta.ucm.es:20.500.14352/130247
network_acronym_str ES
network_name_str España
repository_id_str
spelling Transmission problems for simply connected domains in the complex planeCarro Rossell, María JesúsNaibo, VirginiaSoria Carro, MaríaTransmission problemsGraph simply connected domainsConformal mapsMuckenhoupt weightsMatemáticas (Matemáticas)Análisis matemático12 MatemáticasWe study existence and uniqueness of a transmission problem in simply connected domains in the plane with data in weighted Lebesgue spaces by first investigating solvability results of a related novel problem associated to a homeomorphism in the real line and domains given by the upper and lower half planes. Our techniques are based on the use of conformal maps and Rellich identities for the Hilbert transform, and are motivated by previous works concerning the Dirichlet, Neumann and Zaremba problems.ElsevierUniversidad Complutense de Madrid20252025-01-0120252025-01-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/130247reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)InglésengAgencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PID2020-113048GB-I00 ESPACIOS DE FUNCIONES Y TECNICAS DE ACOTACION DE OPERADORES EN ANALISISopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/1302472026-06-02T12:44:21Z
dc.title.none.fl_str_mv Transmission problems for simply connected domains in the complex plane
title Transmission problems for simply connected domains in the complex plane
spellingShingle Transmission problems for simply connected domains in the complex plane
Carro Rossell, María Jesús
Transmission problems
Graph simply connected domains
Conformal maps
Muckenhoupt weights
Matemáticas (Matemáticas)
Análisis matemático
12 Matemáticas
title_short Transmission problems for simply connected domains in the complex plane
title_full Transmission problems for simply connected domains in the complex plane
title_fullStr Transmission problems for simply connected domains in the complex plane
title_full_unstemmed Transmission problems for simply connected domains in the complex plane
title_sort Transmission problems for simply connected domains in the complex plane
dc.creator.none.fl_str_mv Carro Rossell, María Jesús
Naibo, Virginia
Soria Carro, María
author Carro Rossell, María Jesús
author_facet Carro Rossell, María Jesús
Naibo, Virginia
Soria Carro, María
author_role author
author2 Naibo, Virginia
Soria Carro, María
author2_role author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv Transmission problems
Graph simply connected domains
Conformal maps
Muckenhoupt weights
Matemáticas (Matemáticas)
Análisis matemático
12 Matemáticas
topic Transmission problems
Graph simply connected domains
Conformal maps
Muckenhoupt weights
Matemáticas (Matemáticas)
Análisis matemático
12 Matemáticas
description We study existence and uniqueness of a transmission problem in simply connected domains in the plane with data in weighted Lebesgue spaces by first investigating solvability results of a related novel problem associated to a homeomorphism in the real line and domains given by the upper and lower half planes. Our techniques are based on the use of conformal maps and Rellich identities for the Hilbert transform, and are motivated by previous works concerning the Dirichlet, Neumann and Zaremba problems.
publishDate 2025
dc.date.none.fl_str_mv 2025
2025-01-01
2025
2025-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/130247
url https://hdl.handle.net/20.500.14352/130247
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PID2020-113048GB-I00 ESPACIOS DE FUNCIONES Y TECNICAS DE ACOTACION DE OPERADORES EN ANALISIS
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869415227629502465
score 15.811543

Similares en LA Referencia