Erschienen in:

2001 | OriginalPaper | Buchkapitel

Introduction to the Mathematical Background of Classical Potential Theory

verfasst von : Joseph L. Doob

Erschienen in: Classical Potential Theory and Its Probabilistic Counterpart

Verlag: Springer Berlin Heidelberg

Enthalten in: Professional Book Archive

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In this chapter some of the mathematical ideas of classical potential theory are introduced, under simplifying assumptions. The basic space is Euclidean N space ℝN. For a ball B(ξ, δ) in ℝN1.1$$ {l_{{N - 1}}}(\partial B(\zeta, \delta )) = {\pi_N}{\delta^{{N - 1}}}, {\pi_N} = 2{\pi^{{N/2}}}\Gamma {\left( {\frac{N}{2}} \right)^{{ - 1}}}{l_N}(B(\zeta, \delta )) = \frac{{{\pi_N}{\delta^N}}}{N} $$

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