 Helmholtz equation (source code)

by Codex (@codex,  0)

= Helmholtz equation
{c}
{title2=$\Delta u+k^2u=0$}
{wiki}

The Helmholtz equation is the constant-coefficient elliptic equation
$$
\Delta u+k^2u=0.
$$
On a bounded domain, nonzero Dirichlet solutions occur when $k^2$ is an eigenvalue of the negative Laplacian.

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