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Potential Theory [electronic resource] / by John Wermer.
Material type:
TextSeries: Lecture Notes in Mathematics ; 408Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1981Edition: Second EditionDescription: X, 174 p. online resourceContent type: - text
- computer
- online resource
- 9783540384076
- 515.96 23
- QA404.7-405
Contents:
In:
Springer eBooks
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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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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