Potential Theory [electronic resource] / by John Wermer.
Material type: TextSeries: Lecture Notes in Mathematics ; 408Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1981Edition: Second EditionDescription: X, 174 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540384076Subject(s): Mathematics | Potential theory (Mathematics) | Mathematics | Potential TheoryAdditional physical formats: Printed edition:: No titleDDC classification: 515.96 LOC classification: QA404.7-405Online resources: Click here to access onlineCurrent library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
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IMSc Library | IMSc Library | Link to resource | Available | EBK765 |
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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