2026-06-29T09:25:37Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/1302472026-01-15T01:06:58Zcom_20.500.14352_14col_20.500.14352_15

Transmission problems for simply connected domains in the complex plane Carro Rossell, María Jesús Naibo, Virginia Soria Carro, María Transmission problems Graph simply connected domains Conformal maps Muckenhoupt weights Matemáticas (Matemáticas) Análisis matemático 12 Matemáticas 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. Ministerio de Ciencia e Innovación National Science Foundation Depto. de Análisis Matemático y Matemática Aplicada Fac. de Ciencias Matemáticas FALSE pub 2026-01-14T16:41:12Z 2026-01-14T16:41:12Z 2025 journal article https://hdl.handle.net/20.500.14352/130247 XXXX-XXXX 10.1016/j.jde.2025.113216 eng info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-113048GB-I00/ES/ESPACIOS DE FUNCIONES Y TECNICAS DE ACOTACION DE OPERADORES EN ANALISIS/ CEX2019-000904-S DMS 2154113 DMS 2247096 open access application/pdf Elsevier