论文标题
磁性laplacian的离散光谱
Discrete spectrum of the magnetic Laplacian on perturbed half-planes
论文作者
论文摘要
在均匀的磁场的情况下，无界域中磁性laplacian的结合状态可能非常具有挑战性。当边界的总曲率为正时，我们为几乎平坦的角落和略微弯曲的半平台提供了肯定的答案。
The existence of bound states for the magnetic Laplacian in unbounded domains can be quite challenging in the case of a homogeneous magnetic field. We provide an affirmative answer for almost flat corners and slightly curved half-planes when the total curvature of the boundary is positive.
