中科院数学与系统科学研究院
数学研究所
学术报告
偏微分方程研讨班
报告人：吴瑞军 教授（北京理工大学）
题 目：Nodal sets of solutions to Dirac equations
时 间：2024.04.04（星期四）9:20-10:20
地 点：思源楼 S813
摘 要：Motivated from some geometric problems, we study the nodal sets of solutions to general Dirac equations. We obtain a dimension estimate via approximating the solutions by harmonic spinors. Further under some growth condition we show that the nodal sets are stratified, using an adapted version of the frequency function for spinors. These generalize the previous well-known results for smooth solutions. This is a joint work with W. Borrelli.
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