Uniform Exponential Ergodicity of Stochastic Dissipative Systems
作者： Beniamin Goldys , Bohdan Maslowski
关键词: Dissipative system 、 Mathematics 、 Exponential growth 、 Ergodic theory 、 Nonlinear system 、 Ordinary differential equation 、 Reaction–diffusion system 、 Mathematical analysis 、 Stationary ergodic process 、 Noise (electronics)
摘要: We study ergodic properties of stochastic dissipative systems with additive noise. show that the system is uniformly exponentially provided growth nonlinearity at infinity faster than linear. The abstract result applied to reaction diffusion equation in ℝd d⩽3.
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