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Bogoliubov averaging principle of stochastic reaction–diffusion equation.
- Source :
-
Journal of Differential Equations . May2019, Vol. 266 Issue 10, p6702-6738. 37p. - Publication Year :
- 2019
-
Abstract
- Abstract The purpose of this paper is to establish Bogoliubov averaging principle of stochastic reaction–diffusion equation with a stochastic process and a small parameter. The solutions to stochastic reaction–diffusion equation can be approximated by solutions to averaged stochastic reaction–diffusion equation in the sense of convergence in probability and in distribution. Namely, we establish a weak law of large numbers for the solution of stochastic reaction–diffusion equation. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00220396
- Volume :
- 266
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 134926868
- Full Text :
- https://doi.org/10.1016/j.jde.2018.11.010