Homogenization and correctors for linear stochastic equations via the periodic unfolding methods
2019 ◽
Vol 19
(05)
◽
pp. 1950040
◽
Keyword(s):
In this paper, we use the periodic unfolding method and Prokhorov’s and Skorokhod’s probabilistic compactness results to obtain homogenization and corrector results for stochastic partial differential equations (PDEs) with periodically oscillating coefficients. We show the convergence of the solutions of the original problems to the solutions of the homogenized problems. In contrast to the two-scale convergence method, the corrector results obtained in this paper are without any additional regularity assumptions on the solutions of the original problems
1989 ◽
Vol 20
(1)
◽
pp. 81-96
◽
1998 ◽
Vol 14
(4)
◽
pp. 883-903
2012 ◽
Vol 89
(18)
◽
pp. 2479-2498
◽
2017 ◽
Vol 323
◽
pp. 123-135
◽
2014 ◽
Vol 66
(2)
◽
pp. 261-271
◽
2007 ◽
Vol 38
(5)
◽
pp. 1508-1527
◽
2000 ◽
Vol 331
(10)
◽
pp. 783-790
◽