Ultrahyperbolic equation

In the mathematical field of partial differential equations, the ultrahyperbolic equation is a partial differential equation for an unknown scalar function u of 2n variables x₁, ..., x_n, y₁, ..., y_n of the form

More generally, if a is any quadratic form in 2n variables with signature (n,n), then any PDE whose principal part is $a_{ij}u_{x_ix_j}$ is said to be ultrahyperbolic. Any such equation can be put in the form 1. above by means of a change of variables.

单词	Ultrahyperbolic equation
释义	Ultrahyperbolic equation 英语百科 Ultrahyperbolic equation In the mathematical field of partial differential equations, the ultrahyperbolic equation is a partial differential equation for an unknown scalar function u of 2n variables x₁, ..., x_n, y₁, ..., y_n of the form More generally, if a is any quadratic form in 2n variables with signature (n,n), then any PDE whose principal part is $a_{ij}u_{x_ix_j}$ is said to be ultrahyperbolic. Any such equation can be put in the form 1. above by means of a change of variables.
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