Description



Table of Contents
Electrostatics.- Poisson's equation.- Fundamental solutions.- Capacity.- Energy.- Existence of the equilibrium distribution.- Maximum principle for potentials.- Uniqueness of the equilibrium distribution.- The cone condition.- Singularities of bounded harmonic functions.- Green's function.- The kelvin transform.- Perron's method.- Barriers.- Kellogg's theorem.- The riesz decomposition theorem.- Applications of the riesz decomposition.- Wiener's criterion.

Potential Theory

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A Paperback by J. Wermer

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    Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
    Publication Date: 01/12/1983
    ISBN13: 9783540102762, 978-3540102762
    ISBN10: 3540102760
    Also in:
    Calculus and mathematical analysis

    Description



    Table of Contents
    Electrostatics.- Poisson's equation.- Fundamental solutions.- Capacity.- Energy.- Existence of the equilibrium distribution.- Maximum principle for potentials.- Uniqueness of the equilibrium distribution.- The cone condition.- Singularities of bounded harmonic functions.- Green's function.- The kelvin transform.- Perron's method.- Barriers.- Kellogg's theorem.- The riesz decomposition theorem.- Applications of the riesz decomposition.- Wiener's criterion.

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