论文标题
关于差异问题的近似，罗宾问题的发散形式运算符
On approximation of the Dirichlet problem for divergence form operator by Robin problems
论文作者
论文摘要
我们表明，在自然假设下，可以通过某些版本的罗宾问题解决方案来近似地近似椭圆形散射形式的迪里奇问题解决方案。该证明基于与发散形式算子相对应的反射扩散的解决方案和特性的随机表示。
We show, that under natural assumptions, solutions of Dirichlet problems for uniformly elliptic divergence form operator can be approximated pointwise by solutions of some versions of Robin problems. The proof is based on stochastic representation of solutions and properties of reflected diffusions corresponding to divergence form operators.
