In modern terms, the balayage operator maps a measure μ on a closed domain D to a measure ν on the boundary ∂ D, so that the Newtonian potentials of μ and ν coincide outside D. The procedure is called balayage since the mass is "swept out" from D onto the boundary.
- Solomentsev, E.D. (2001), "Balayage method", in Hazewinkel, Michiel, Encyclopedia of Mathematics, Springer, ISBN 978-1-55608-010-4
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