RT Journal Article
T1 Transmission problems for simply connected domains in the complex plane
A1 Carro Rossell, María Jesús
A1 Naibo, Virginia
A1 Soria Carro, María
AB 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.
PB Elsevier
YR 2025
FD 2025
LK https://hdl.handle.net/20.500.14352/130247
UL https://hdl.handle.net/20.500.14352/130247
LA eng
NO Ministerio de Ciencia e Innovación
NO National Science Foundation
DS Docta Complutense
RD 16 ene 2026