J. Wermer

Potential Theory

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Lecture Notes in Mathematics 408
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-10276-2
• 2nd ed.
• Seitenzahl: 180
• Erscheinungstermin: 1. Dezember 1983
• Englisch
• Abmessung: 235mm x 155mm x 11mm
• Gewicht: 304g
• ISBN-13: 9783540102762
• ISBN-10: 3540102760
• Artikelnr.: 23575667

Inhaltsangabe

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.