In this paper, we give weak regularity theorems on P of u ?(x, P), where u ?(x, P) is the viscosity solution of the cell problem H ?(P + D x u ?, x) = $\overline H _\varepsilon $ (P).
基金the National Natural Science Foundation of China (Grant Nos. 10701027, 10601013)Science and Technology Commission of Shanghai Municipality (Grant No. 06JC14005)
文摘In this paper, we give weak regularity theorems on P of u ?(x, P), where u ?(x, P) is the viscosity solution of the cell problem H ?(P + D x u ?, x) = $\overline H _\varepsilon $ (P).