FRESNEDA PORTILLO, CARLOS

No

Georgian Math. J.

Article

Científica

3

3

0.7

0.289

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85125791837&doi=10.1515%2fgmj-2022-2145&partnerID=40&md5=e054927bc9a9511ca17b3524044a0d33

01/03/2022

7,62644E+11

2-s2.0-85125791837

10.1515/gmj-2022-2145

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.

Robin problem; parametrix; boundary integral equations; potential operators