Potential Theory - J. Wermer
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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 ... Full description
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Description
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.
More Information
| Author | J. Wermer |
|---|---|
| Publisher | Springer Berlin Heidelberg |
| Series | Lecture Notes in Mathematics |
| Release year | 1983 |
| Cover type | Softcover |
| EAN | 9783540102762 |