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Solution of the Transmission Problem

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Abstract

The solution of the following transmission problem for the Laplace equation is constructed: Δu +=0 in G +, Δu −=0 in G −, u +−u −=f in ∂ G +, n⋅(∇ u +−a ∇ u −)+b τ⋅(∇ u +−∇ u −)+h + u ++h − u −=g in ∂ G +.

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Authors and Affiliations

  1. Mathematical Institute of the Academy of Sciences of the Czech Republic, Žitná 25, 115 67, Prague 1, Czech Republic

    Dagmar Medková

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  1. Dagmar Medková
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Correspondence to Dagmar Medková.

Additional information

The research was supported by the Academy of Sciences of the Czech Republic, Institutional Research Plan No. AV0Z10190503.

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Medková, D. Solution of the Transmission Problem. Acta Appl Math 110, 1489–1500 (2010). https://doi.org/10.1007/s10440-009-9522-5

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  • DOI: https://doi.org/10.1007/s10440-009-9522-5

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