Analysis of Boundary-Domain Integral Equations based on a new parametrix for the mixed diffusion BVP with variable coefficient in an interior Lipschitz domain
Analysis of PDEs
2020-11-23 v1
Abstract
A mixed boundary value problem for the partial differential equation of diffusion in an inhomogeneous medium in a Lipschitz domain is reduced to a system of direct segregated parametrix-based Boundary-Domain Integral Equations (BDIEs). We use a parametrix different from the one employed in the papers by Mikhailov (2002, 2006) and Chkadua, Mikhailov, Natroshvili (2009). 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
Cite
@article{arxiv.1809.02971,
title = {Analysis of Boundary-Domain Integral Equations based on a new parametrix for the mixed diffusion BVP with variable coefficient in an interior Lipschitz domain},
author = {S. E. Mikhailov and C. F. Portillo},
journal= {arXiv preprint arXiv:1809.02971},
year = {2020}
}
Comments
arXiv admin note: text overlap with arXiv:1801.03854