Electric Images; Green’s Function

  • Oliver Dimon Kellogg
Part of the Die Grundlehren der Mathematischen Wissenschaften book series (volume 31)


In the closing section of Chapter VII, we saw an example of a case in which a potential with certain requirements as to its normal derivatives on a plane could be represented on one side of the plane by the potential of a point charge on the opposite side of the plane. This is an example of the use of electric images.


Harmonic Function Dirichlet Problem Interior Point Existence Theorem Point Charge 
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  1. Blaschke, Vorlesungen über Differentialgeometrie, Berlin 1924, Bd. I, § 40.Google Scholar
  2. Bieberbach, Differentialgleichungen, Berlin, 1923, pp. 265—270.MATHGoogle Scholar

Copyright information

© Verlag Von Julius Springer 1929

Authors and Affiliations

  • Oliver Dimon Kellogg
    • 1
  1. 1.Mathematics in Harvard UniversityCambridgeUSA

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