evolution equation

An evolution equation is an equation of the form

$${\partial}_{t}f=Lf$$

where ${\partial}_{t}$ represents the partial derivative with respect to time, $L$ is a differential operator and $f$ is usually assumed to be an element of some topological vector space. Examples are the Schrödinger equation and the Fokker-Planck equation. These equations describe the time evolution of a physical system, hence the name.

Revised on April 20, 2010 22:12:33
by Urs Schreiber
(82.135.62.183)