Tnxyvtg In Tnx Cxg

For n ∈ N, let (u n, ν , n) be the solution of the following SPDE with lower obstacle () d u t n (x) 1 2 Δ u t n (x) d t f t (x) d t − n (u t n (x) − v ¯ t (x)) d t div g t (x) d t h t (x) ⋅ d B ⃖ t ν , n (d t, x) = 0, u n (t, x) ≥ v ̲ (t, x), ∫ 0 T ∫ R d u ̃ n (t, x) − v ̲ (t, x) ν , n (d t, d x) = 0.

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