题目：The Dirichlet problem for elliptic operators on rough domains

报告人：曹明明（西班牙国家科学院 数学科学研究所）

时间：2022年11月17日（星期四），16:00-17:00 

地点：腾讯会议，会议号：468 902 773，会议密码：123456

摘要：In capacity density open sets, we give a geometric characterization of well-posedness of the Dirichlet problem for elliptic operators with boundary data in Holder spaces. By means of a weak connectivity assumption, we establish the well-posedness of the Dirichlet problem when the solution satisfies a Carleson measure estimate and the boundary data belongs to Holder or Morrey-Campanato spaces. We also present a characterization of the Holder spaces in terms of the boundary traces of solutions. Finally, in 1-sided chord-arc domains, we establish an equivalence between Holder and Carleson norms. 

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