Abstract.
We prove a homogenization result for system of semilinear parabolic PDEs of the type
where V and a are random ergodic fields. We extend to the random case, results of Buckdahn, Hu & Peng [4] for periodic structures. The same method involving stability results is applied. Our main tool is an L p estimate for the gradient of the solution of the auxiliary problems. The same type of resultsis obtained for systems of semilinear elliptic PDEs.
Author information
Authors and Affiliations
Additional information
Received: 26 September 2000 / Revised version: 22 March 2001 / Published online: 15 October 2001
Rights and permissions
About this article
Cite this article
Castell, F. Homogenization of random semilinear PDEs. Probab Theory Relat Fields 121, 492–524 (2001). https://doi.org/10.1007/s004400100164
Issue Date:
DOI: https://doi.org/10.1007/s004400100164
Keywords
- Periodic Structure
- Stability Result
- Main Tool
- Auxiliary Problem
- Elliptic PDEs