We consider the inverse problem of determining an electromagnetic potential appearing in an infinite cylindrical domain from boundary measurements. More precisely, we prove the stable recovery of a general class of magnetic field and electric potential from boundary measurements. Assuming the knowledge of the unknown coefficients close to the boundary, we obtain other results of stable recovery with measurements restricted to some portion of the boundary. Our approach combines construction of complex geometric optics solutions and Carleman estimates suitably designed for our stability results stated in an unbounded domain.

中文翻译：

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无界域中非紧支撑电磁势的稳定恢复

我们考虑通过边界测量确定出现在无限圆柱域中的电磁势的逆问题。更准确地说，我们证明了从边界测量中稳定恢复一类磁场和电势。假设知道边界附近的未知系数，我们获得了稳定恢复的其他结果，测量仅限于边界的某些部分。我们的方法结合了复杂几何光学解决方案的构建和为我们在无界域中陈述的稳定性结果而适当设计的卡尔曼估计。