Re: Funzione di Green. Equazione di Poisson in R^n.
Vediamo se ho capito bene. Quindi per n=3:
\[
\begin{array}{l}
\int\limits_0^{ + \infty } {f(r)4\pi r^2 dr = } 1 \\
a > 0 \to \int\limits_a^{ + \infty } {f(r)4\pi r^2 dr = } 0 \\
f(r)4\pi r^2 = 2\delta (r) \\
\\
f(r) = \frac{1}{{2\pi r^2 }}\delta (r) \\
\int\limits_0^{ + \infty } {\delta (r)} dr = \frac{{\int\limits_{ -
\infty }^{ + \infty } {\delta (r)} dr}}{2} = \frac{1}{2} \\
\end{array}
\]
Received on Wed Apr 12 2006 - 02:01:08 CEST
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