具有非线性Neumann边界条件的反射半线性PDE的均匀化
Homogenization of reflected semilinear PDE with nonlinear Neumann boundary condition
摘要：
研究了具有非线性Neumann条件的半线性反射偏微分方程（简称反射偏微分方程）的均匀化问题。非线性项是解的函数，但不是其梯度的函数。证明是完全概率的，并使用相关的反射广义向后微分随机方程（简称反射GBSDES）的弱收敛。
英文摘要：
We study the homogenization problem of semi linear reflected partial differential equations (reflected PDEs for short) with nonlinear Neumann conditions. The non-linear term is a function of the solution but not of its gradient. The proof are fully probabilistic and uses weak convergence of associated reflected generalized backward differential stochastic equations (reflected GBSDEs in short).
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