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Generic regularity in the Alt-Caffarelli-Phillips problem

发布时间:2024-06-03 作者: 浏览次数:
Speaker: Hui Yu DateTime: 2024年6月9日(周日)下午16:30-17:30
Brief Introduction to Speaker:

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Place: 六号楼二楼报告厅
Abstract:The Alt-Caffarelli problem and the Alt-Phillips problem are among the most well-studied elliptic free boundary problems. Much effort has been devoted to estimating the size of the singular set on the free boundary, for instance, in terms of its Hausdorff dimension. In this talk, we discuss how such estimates can be improved for generic boundary data. This talk is based on a recent joint work with Xavier Fernández-Real at EPFL.