On a boundary-domain integral equation system for the Robin problem for the diffusion equation in non-homogeneous media-Reference-Cited by-同舟云学术

On a boundary-domain integral equation system for the Robin problem for the diffusion equation in non-homogeneous media

Published:2022-03-01 Issue:3 Volume:29 Page:363-372
ISSN:1072-947X
Container-title:Georgian Mathematical Journal
language:en
Short-container-title:

Author:

Fresneda-Portillo Carlos¹^ORCID

Affiliation:

1. Department of Quantitative Methods , Universidad Loyola Andalucía , Dos Hermanas , Sevilla , Spain

Abstract

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. in [4]. 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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/gmj-2022-2145/pdf

Reference29 articles.

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