# Category:Parabolic

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

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

If the matrix is positive or negative semidefinite with exact one eigenvalue zero, the partial differential equation is called parabolic.

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

## Pages in category "Parabolic"

This category contains only the following page.