Potential Theory

Wermer, John.

Potential Theory [electronic resource] / by John Wermer. - Second Edition. - X, 174 p. online resource. - Lecture Notes in Mathematics, 408 0075-8434 ; . - Lecture Notes in Mathematics, 408 .

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.

9783540384076

10.1007/BFb0069689 doi


Potential theory (Mathematics).
Potential Theory.

QA404.7-405

515.96
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