## Hyperbolic Partial Differential Equation

A Partial Differential Equation of second-order, i.e., one of the form

 (1)

is called hyperbolic if the Matrix
 (2)

satisfies det . The Wave Equation is an example of a hyperbolic partial differential equation. Initial-boundary conditions are used to give
 (3)

 (4)

 (5)

where
 (6)

holds in .

See also Elliptic Partial Differential Equation, Parabolic Partial Differential Equation, Partial Differential Equation

© 1996-9 Eric W. Weisstein
1999-05-25