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On a Boundary-Domain Integral Equation System for the Robin problem for the Diffusion Equation in Non-homogeneous Media

Autores

FRESNEDA PORTILLO, CARLOS

Publicación externa

No

Medio

Georgian Math. J.

Alcance

Article

Naturaleza

Científica

Cuartil JCR

✗

Cuartil SJR

✗

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