论文标题
在磁性laplacian上，带有分段常数磁场，$ \ mathbb {r}^3 _+$
On the magnetic laplacian with a piecewise constant magnetic field in $\mathbb{R}^3_+$
论文作者
论文摘要
在磁场具有分段恒定强度和均匀方向的情况下，我们考虑了$ \ mathbb {r}^3 _+$中磁性拉普拉斯的实现。预计该操作员将是研究暴露于不连续磁场的3D超导体的正常状态阈值的有效模型。我们回顾了上述操作员频谱的最新结果。
We consider the Neumann realization of the magnetic laplacian in $\mathbb{R}^3_+$, in the case in which the magnetic field has a piecewise constant strength and a uniform direction. This operator is expected to be an effective model in studying the threshold to the normal state for a 3D superconductor exposed to a discontinuous magnetic field. We review some recent results above the infimum of the spectrum of the aforementioned operator.
