A New Family of Boundary-Domain Integral Equations for the Mixed Exterior Stationary Heat Transfer Problem with Variable Coefficient

S. E. Mikhailov () and C. F. Portillo ()
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S. E. Mikhailov: Brunel University West London
C. F. Portillo: Oxford Brookes University

Chapter Chapter 19 in Integral Methods in Science and Engineering, Volume 1, 2017, pp 215-226 from Springer

Abstract: Abstract A mixed boundary value problem for the stationary heat transfer partial differential equation with variable coefficient in an exterior domain is reduced to some systems of direct segregated parametrix-based boundary-domain integral equations. We use a parametrix different from the one employed in some previous papers. 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 systems. The invertibility and Fredholm properties of the boundary-domain integral operators are also analysed.

Keywords: Boundary-domain Integral Equation; Exterior Domain; Mixed Boundary Value Problem; Mapping Properties; Greater Identity (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-59384-5_19

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DOI: 10.1007/978-3-319-59384-5_19

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