2026-06-29T07:30:36Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/502982023-08-25T11:00:06Zcom_20.500.14352_14col_20.500.14352_15

Flux terms and Robin boundary conditions as limit of reactions and potentials concentrating at the boundary Arrieta Algarra, José María Jiménez Casas, Ángela Rodríguez Bernal, Aníbal 517.986 Elliptic equations Concentrating terms Boundary reaction Boundary potential Funciones (Matemáticas) 1202 Análisis y Análisis Funcional We analyze the limit of the solutions of an elliptic problem when some reaction and potential terms are concentrated in a neighborhood of a portion Gamma of the boundary and this neighborhood shrinks to Gamma as a parameter goes to zero. We prove that this family of solutions converges in certain Sobolev spaces and also in the sup norm, to the solution of an elliptic problem where the reaction term and the concentrating potential are transformed into a flux condition and a potential on Gamma. Depto. de Análisis Matemático y Matemática Aplicada Fac. de Ciencias Matemáticas TRUE pub 2023-06-20T09:45:03Z 2023-06-20T09:45:03Z 2008 journal article https://hdl.handle.net/20.500.14352/50298 0213-2230 10.4171/RMI/533 metadata only access Universidad Autónoma Madrid