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|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|
|Keywords:||Variable coefficient;parametrix;remainder;mixed boundary value problem;boundary-domain integral equations|
|Publisher:||Rocky Mountain Mathematics Consortium|
|Citation:||JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS|
|Abstract:||A mixed boundary value problem for the partial differential equation of difusion 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 previous 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.|
|Appears in Collections:||Publications|
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