Difference between revisions of "Category:Hyperbolic"
From mintOC
FelixMueller (Talk | contribs) |
FelixMueller (Talk | contribs) |
||
| Line 7: | Line 7: | ||
An example is the wave equation: <math>\frac{\partial^2 u}{\partial t^2}-\Delta u = f</math>, | An example is the wave equation: <math>\frac{\partial^2 u}{\partial t^2}-\Delta u = f</math>, | ||
| − | where <math>\Delta</math> denotes the Laplace operator, <math>u</math> is the unknown, and the function <math>f</math> given. | + | where <math>\Delta</math> denotes the Laplace operator, <math>u</math> is the unknown, and the function <math>f</math> is given. |
</p> | </p> | ||
Revision as of 15:33, 24 February 2016
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 
is indefinite such that 
eigenvalues have the same sign and the remaining eigenvalue 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.
Pages in category "Hyperbolic"
This category contains only the following page.
