| 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 | 3 |
| SJR Quartile | 3 |
| JCR Impact | 0.70000 |
| SJR Impact | 0.28900 |
| 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 |
| Universidad Loyola members |
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