论文标题
3D Robin Laplacian的磁性限制
Magnetic confinement for the 3D Robin Laplacian
论文作者
论文摘要
我们确定在光滑的3D域中具有光滑的磁场和罗宾边界条件的拉普拉斯操作员最低特征值的准确渐近造物，当罗宾参数趋向于$+\ infty $。我们的结果确定了磁场和罗宾条件的贡献相同的关键方案。在这个关键方案中，我们得出了一个在域边界上定义的有效运算符。
We determine accurate asymptotics of the lowest eigenvalue for the Laplace operator with a smooth magnetic field and Robin boundary conditions in a smooth 3D domain, when the Robin parameter tends to $+\infty$. Our results identify a critical regime where the contribution of the magnetic field and the Robin condition are of the same order. In this critical regime, we derive an effective operator defined on the boundary of the domain.
