BOUNDARY-DOMAIN INTEGRAL EQUATIONS FOR DIRICHLET DIFFUSION PROBLEMS WITH NON-SMOOTH COEFFICIENT

被引：0

作者：

Fresneda-Portillo, Carlos ^{[1
]}

Woldemicheal, Zenebe W. ^{[2
]}

机构：

[1] Univ Loyola Andalucia, Dept Quantitat Methods, Seville 41704, Spain

[2] Madda Walabu Univ, Dept Math, POB 247, Bale Robe, Ethiopia

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2022年 / 2022卷 / 26期

关键词：

Non-smooth coefficients; parametrix; Lipschitz domain; diffusion equation; boundary-domain integral equations; minimal wave speed; CO-NORMAL DERIVATIVES; VARIABLE-COEFFICIENT; NUMERICAL-SOLUTION; CONVECTION EQUATION; ELLIPTIC-SYSTEMS; MIXED BVP; FORMULATIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain a system of boundary-domain integral equations (BDIE) equivalent to the Dirichlet problem for the diffusion equation in non-homogeneous media. We use an extended version of the boundary integral method for PDEs with variable coefficients for which a parametrix is required. We generalize existing results for this family of parametrices considering a non-smooth variable coefficient in the PDE and source term in Hs-2(Omega), 1/2 < s < 3/2 defined on a Lipschitz domain. The main results concern the equivalence between the original BVP and the corresponding BDIE system, as well as the well-posedness of the BDIE system.

引用

页数：15

共 24 条

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