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Category:Hyperbolic

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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 i,j=1naij2uxixj+lower-order terms=0.

If the matrix A=(aij)ij is indefinite such that n1 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: 2ut2Δu=f, where Δ denotes the Laplace operator, u is the unknown, and the function f is given.

Pages in category "Hyperbolic"

This category contains only the following page.