nLab
evolution equation

Contens

Idea

An evolution equation is an equation of the form

tf=Lf \partial_t f = L f

where t\partial_t represents the partial derivative with respect to time, LL is a differential operator and ff 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)