报告题目：The Magnetic Laplacian in a Bounded Domain

报告人：申仲伟教授，西湖大学

报告时间：5月25日（周一），14:00-15:00

报告地点：五教5106

摘要：This talk is concerned with the spectrum properties of the magnetic Laplacian with a higher-order vanishing magnetic field in a bounded domain. We are interested in the asymptotic behaviors of ground state energies for the Dirichlet Laplacian, the Neumann Laplacian, and the Dirichlet-to-Neumann operators, as the field strength parameter$\beta$ goes to infinite. Assume the magnetic field does not vanish to infinite order, we establish the leading orders of $\beta$. We also obtain the first terms in the asymptotic expansions with remainder estimates under additional conditions.