# Category:Hyperbolic

From mintOC

This category contains all control problems which are governed by a hyperbolic partial differential equation.

A second order linear partial differential equation can be written as .

If the matrix is indefinite such that eigenvalues have the same sign and the remaining eigenvalue has the other sign, the partial differential equation is called hyperbolic.

An example is the wave equation: , where denotes the Laplace operator, is the unknown, and the function is given.

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