Wermer, John.
Potential Theory [electronic resource] / by John Wermer. - Second Edition. - Berlin, Heidelberg : Springer Berlin Heidelberg, 1981. - 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
Mathematics.
Potential theory (Mathematics).
Mathematics.
Potential Theory.
QA404.7-405
515.96
Potential Theory [electronic resource] / by John Wermer. - Second Edition. - Berlin, Heidelberg : Springer Berlin Heidelberg, 1981. - 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
Mathematics.
Potential theory (Mathematics).
Mathematics.
Potential Theory.
QA404.7-405
515.96