Difference between revisions of "Category:Parabolic"
From mintOC
FelixMueller (Talk | contribs) |
FelixMueller (Talk | contribs) |
||
Line 6: | Line 6: | ||
<p> | <p> | ||
− | If <math>A=(a_{ij})_{ij}</math> is positive or negative semidefinite with exact one eigenvalue zero, the partial differential equation is called parabolic. | + | If the matrix <math>A=(a_{ij})_{ij}</math> is positive or negative semidefinite with exact one eigenvalue zero, the partial differential equation is called parabolic. |
</p> | </p> | ||
<p> | <p> |
Latest revision as of 16:21, 24 February 2016
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.