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：Prof. Hui Yu (NUS)
题 目：Graphical solutions to one-phase problems
时 间：2023.07.10（星期一）10:30-11:30
地 点：数学院南楼N933
摘 要：Free boundaries of solutions to the one-phase problem can have rich geometry. Such richness can be reduced by imposing the graphical condition. In this talk, we show that if homogeneous minimizers are trivial in dimension k, then graphical solutions are trivial in dimension k+1. This works for both the classical one-phase problem as well as its thin counterpart. This talk is based on a joint work with Max Engelstein (Minnesota) and Xavier Fernandez-Real (EPFL).
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