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- W4385144256 abstract "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 (H^{s-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" @default.
- W4385144256 created "2023-07-23" @default.
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- W4385144256 date "2022-03-04" @default.
- W4385144256 modified "2023-10-01" @default.
- W4385144256 title "Boundary-domain integral equations for Dirichlet diffusion problems with non-smooth coefficient" @default.
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- W4385144256 doi "https://doi.org/10.58997/ejde.2022.26" @default.
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