平面上分段光滑位势的重构与稳定性
Reconstruction and stability for piecewise smooth potentials in the plane
摘要：
我们表明，潜在的跳跃不连续性，可以恢复从狄利克雷到诺依曼映射使用Bukhgeim的方法。结合已知公式，这使得能够在固定能量下从散射振幅恢复。我们还提供了一个先验的稳定性估计重建从狄利克雷到诺依曼映射，以及从散射amplitudegiven的不连续性的位置的近似知识。
英文摘要：
We show that potentials with jump discontinuities can be recovered from the Dirichlet-to-Neumann map using Bukhgeim's method. Combining with known formulas, this enables the recovery from the scattering amplitude at a fixed energy. We also provide a priori stability estimates for reconstruction from the Dirichlet-to-Neumann map as well as from the scattering amplitudegiven an approximate knowledge of the location of the discontinuities.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
