A new family of boundary‐domain integral equations for the Dirichlet problem of the diffusion equation in inhomogeneous media with H−1(Ω) source term on Lipschitz domains

DOI10.1002/MMA.6659zbMath1475.35140arXiv2002.09694OpenAlexW3044134271MaRDI QIDQ4957060

Carlos Fresneda-Portillo, Zenebe W. Woldemicheal

Publication date: 3 September 2021

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.09694

zbMATH Keywords

diffusion equationboundary integral equationsparametrixLipschitz domainboundary-domain integral equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Integro-partial differential equations (45K05) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Linear integral equations (45A05)

Related Items (3)

On the well-posedness of two boundary-domain integral equation systems equivalent to the Dirichlet problem for the Stokes system with variable viscosity ⋮ On a boundary-domain integral equation system for the Robin problem for the diffusion equation in non-homogeneous media ⋮ Unnamed Item

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