## Differential and Integral Equations

### Time-independent estimates and a comparison theorem for a nonlinear integroparabolic equation of the Fokker-Planck type

#### Abstract

Time-independent bounds for the classical solutions of a certain nonlinear integroparabolic equation of the Fokker-Planck type are established. Such an equation describes the statistical time evolution of large populations of nonlinearly coupled random oscillators with inertia. The basic tool is deriving energy-like" estimates. A comparison theorem is also proved to obtain estimates for the solutions in terms of some special solutions.

#### Article information

Source
Differential Integral Equations Volume 17, Number 5-6 (2004), 549-570.

Dates
First available in Project Euclid: 21 December 2012