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.
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Received: 26 September 2000 / Revised version: 22 March 2001 / Published online: 15 October 2001
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Castell, F. Homogenization of random semilinear PDEs. Probab Theory Relat Fields 121, 492–524 (2001). https://doi.org/10.1007/s004400100164
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DOI: https://doi.org/10.1007/s004400100164