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| PROBABILISTIC APPROACH TO THE NEUMANN PROBLEM | |
| 作者姓名： | 张土生 |
| 作者单位： | Institute of |
| 摘 要： | In this paper, we consider the Neumann boundary value problem of Schrodinger operator withmeasure potentia1 μ. First, a martingale formulation of the Neumann problem and an analyticcharacterization of the martingale formulation are given. Then, by using the Dirichlet forms andStochastic analysis we obtain an explicit formula for the unique weak solotion of this problem interms of reflecting Brownian motion and it's boundary local time. |
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