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

Authors

FRESNEDA PORTILLO, CARLOS

External publication

No

Means

Georgian Math. J.

Scope

Article

Nature

Científica

JCR Quartile

✗

SJR Quartile

✗

JCR Impact

0.7

SJR Impact

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

Publication date

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.

Keywords

Robin problem; parametrix; boundary integral equations; potential operators