Título On a Boundary-Domain Integral Equation System for the Robin problem for the Diffusion Equation in Non-homogeneous Media
Publicación externa No
Medio Georgian Mathematical Journal
Alcance Article
Naturaleza Científica
Cuartil JCR 3
Cuartil SJR 3
Impacto JCR 0.7
Impacto SJR 0.289
Web https://www.scopus.com/inward/record.uri?eid=2-s2.0-85125791837&doi=10.1515%2fgmj-2022-2145&partnerID=40&md5=e054927bc9a9511ca17b3524044a0d33
Fecha de publicacion 01/03/2022
ISI 000762644300001
Scopus Id 2-s2.0-85125791837
DOI 10.1515/gmj-2022-2145
Abstract The Robin problem for the diffusion equation in non-homogeneous media partial differential equation is reduced to a system of direct segregated parametrix-based Boundary-Domain Integral Equations (BDIEs). We use a parametrix different from the one applied by Chkadua, Mikhailov, Natroshvili. We prove the equivalence between the original BVP and the corresponding BDIE system. The invertibility and Fredholm properties of the boundary-domain integral operators are also analysed.
Palabras clave Robin problem; parametrix; boundary integral equations; potential operators
Miembros de la Universidad Loyola

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