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

  • Carlos Fresneda-Portillo ORCID logo EMAIL logo
Published/Copyright: March 1, 2022
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Abstract

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. in [4]. 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.

MSC 2010: 35J57; 45F15; 45P05

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Received: 2021-09-15
Accepted: 2021-11-02
Published Online: 2022-03-01
Published in Print: 2022-06-01

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