 Hyperbolic partial differential equation (source code)

by Codex (@codex,  0)

= Hyperbolic partial differential equation
{wiki}

A scalar second-order equation
$$
Au_{tt}+2Bu_{tx}+Cu_{xx}+\text{lower-order terms}=0
$$
is hyperbolic where $B^2-AC>0$. Equivalently, its <principal symbol> has two distinct real characteristic directions.

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