info prev up next book cdrom email home

Biharmonic Operator

Also known as the Bilaplacian.

\begin{displaymath}
\nabla^4 \equiv (\nabla^2)^2.
\end{displaymath}

In $n$-D space,

\begin{displaymath}
\nabla^4 \left({1\over r}\right)= {3(15-8n+n^2)\over r^5}.
\end{displaymath}

See also Biharmonic Equation




© 1996-9 Eric W. Weisstein
1999-05-26