Title 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 4
SJR Quartile 3
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
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