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PDE基础-分布和弱导数
Speaker: 则克
Date: 2026-09-09
Time: 10:00
Location: S713
讨论分布、分布导数以及弱导数。
Singular Sets of Solutions to Elliptic Equations
Speaker: Wanjun Ai
Date: 2025-10-11
Time: 14:30
Location: 数学大楼819
We study the structure of the singular sets of solutions to elliptic differential equations in $R^n$, the subsets where the solutions, with their gradients, vanish. We prove that such sets are countably $n-2$-rectifiable under the assumption that the solutions vanish at finite order. We construct the tangent spaces for all points in the singular sets.