Ultrahyperbolic equation
In the mathematical field of differential equations, the ultrahyperbolic equation is a class of partial differential equation (PDE) first described by R. Courant. Specifically non-normal hyperbolic they are used for an unknown scalar function u of 2n variables x1, ..., xn, y1, ..., yn of the form ∂ 2 u ∂ x 1 2 + ⋯ + ∂ 2 u ∂ x n 2 − ∂ 2 u ∂ y 1 2 − ⋯ − ∂ 2 u ∂ y n 2 = 0.