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|Title:||A new family of boundary-domain Integral equations for a mixed elliptic BVP with variable coefficient|
|Publisher:||University of Brighton|
|Citation:||Proceedings of the 10th UK Conference on Boundary Integral Methods, University of Brighton, UK, pp. 76 - 84, (2015)|
|Abstract:||A mixed boundary value problem for the stationary heat transfer partial di erential equation with variable coe cient is reduced to some systems of direct segregated parametrix-based Boundary-Domain Integral Equations (BDIEs). We use a parametrix di erent from the one employed by Mikhailov (2002) and Chkadua, Mikhailov, Natroshvili (2009). Mapping properties of the potential type integral operators appearing in these equations are presented in appropriate Sobolev spaces. 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:||Dept of Mathematics Research Papers|
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