Two-Operator Boundary-Domain Integral Equations for Variable-Coefficient Dirichlet Problem with General Data

Tsegaye G. Ayele ()
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Tsegaye G. Ayele: Addis Ababa University

Chapter Chapter 4 in Integral Methods in Science and Engineering, 2019, pp 37-52 from Springer

Abstract: Abstract Applying a version of the two-operator approach, the Dirichlet boundary value problem for a second-order scalar elliptic differential equation with variable coefficient and with right-hand side from H ˜ − 1 ( Ω ) $$\widetilde {H}^{-1}(\varOmega )$$ is reduced to two different systems of boundary-domain integral equations (BDIEs). The equivalence of the two-operator BDIE systems to the original BVP is proved.

Date: 2019
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DOI: 10.1007/978-3-030-16077-7_4

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