Westlake Math Colloquium第五十九期 | Laurent Moonens: Removable sets for linear PDEs: a survey

2024-07-30 08:53:32

时间2024年8月7日(周四)14:00-15:00

地点:西湖大学云谷校区E4-233


主持人:Thierry De Pauw, ITS

主讲人Laurent Moonens,Université Paris-Saclay

主讲人简介Laurent Moonens completed his PhD in Mathematics at the University of Louvain-la-Neuve (Belgium) under the supervision of Th. De Pauw in 2008. After post-docs in Orsay (France), Ann Arbor and Urbana-Champaign (USA) and Louvain-la-Neuve (Belgium), he was appointedMaître de Conférences(Associate Professor) at theUniversité Paris-Saclayin 2012, where he obtained the Habilitation (Habilitation à Diriger des Recherches) in 2023. His main interests are Real and Harmonic Analysis, Geometric Measure Theory and Non-absolute Integration theories.

讲座主题:Removable sets for linear PDEs: a survey

讲座摘要:In this colloquium talk, we will introduce the notion of a removable set for a linear partial differential equation with respect to a space of functions as a set having the property that every function in the above mentioned space satisfying the equation (in the sense of distributions) outside of it, actually satisfies it in the whole Euclidean space. We will then survey several important cases (case of the Laplace equation, of the divergence equation, of linear equations associated to elliptic and canceling operators) and explain how geometric measure theoretic notions of ``smallness’’ can imply removability in those contexts.

Baidu
map