论文标题
关于Riemann表面上非线性磁性Schrödinger操作员的部分数据反问题的注释
A note on the partial data inverse problem for a nonlinear magnetic Schrödinger operator on Riemann surface
论文作者
论文摘要
我们从紧凑的riemann表面上的边界的任意开放子集上的测量中恢复了非线性磁性Schrödinger电位。我们假设磁电势满足合适的分析特性，在这种情况下，可以通过线性化参数获得恢复。证明取决于[15]中引入的复杂分析方法。
We recover a nonlinear magnetic Schrödinger potential from measurement on an arbitrarily small open subset of the boundary on a compact Riemann surface. We assume that the magnetic potential satisfies suitable analytic properties, in which case the recovery can be obtained by a linearisation argument. The proof relies on the complex analytic methods introduced in [15].
