标题： Lipschitz域中反障碍散射的唯一性定理 显示英文标题

标题： Uniqueness theorems for inverse obstacle scattering in Lipschitz domains

摘要： 一个从固定能量散射数据中寻找障碍物及其表面边界条件的反问题被研究。 一种新的方法被用于证明唯一性结果。 该方法不使用相应拉普拉斯算子在有界区域中的谱的离散性。 唯一性结果的证明基于平方可积函数的希尔伯特空间是可分的这一事实。 显示英文摘要

摘要： An inverse problem of finding an obstacle and the boundary condition on its surface from the fixed-energy scattering data is studied. A new method is developed for a proof of the uniqueness results. The method does not use the discreteness of the spectrum of the corresponding Laplacian in a bounded domain. Proof of the uniqueness results is based on the fact that the Hilbert space of square integrable functions is separable.