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This category contains all control problems which are governed by an elliptic partial differential equation.

A second order linear partial differential equation can be written as \sum^n_{i,j=1} a_{ij} \frac{\partial^2u}{\partial x_i \partial x_j} +\, \text{lower-order terms} = 0.

If the matrix A=(a_{ij})_{ij} is positive or negative definite, the partial differential equation is called elliptic.

An example is the Poisson's equation: -\Delta u = f, where \Delta denotes the Laplace operator, u is the unknown, and the function f is given.

Pages in category "Elliptic"

The following 2 pages are in this category, out of 2 total.