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

被引：2

作者：

Fresneda-Portillo, Carlos ^{[1
]}

机构：

[1] Univ Loyola Andalucia, Dept Quantitat Methods, Seville, Spain

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2022年 / 29卷 / 03期

关键词：

Robin problem; parametrix; boundary integral equations; potential operators; VARIABLE-COEFFICIENT; NUMERICAL-SOLUTION; MIXED BVP; NEUMANN;

D O I：

10.1515/gmj-2022-2145

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：363 / 372

页数：10

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