9月7日 南开大学周峰博士学术报告

发布时间:2017-09-05浏览次数:13


报 告 人:周峰 博士(南开大学)

报告题目:Pointwise Estimates of a Sub-quadratic Elliptic System with VMO Coefficients in Reifenberg Domains

报告时间:2017年9月7日(周四)下午2:30-4:30

报告地点:静远楼204学术报告厅

报告人简介:

    周峰,南开大学博士后。南开大学(数学基地班)获得学士学位,新加坡国立大学获得博士学位。目前主要从事调和分析方面的研究。研究成果发表在CVPDE、PAMS等国际杂志上。

报告摘要:

    In this talk, we consider an inhomogeneous Dirichlet problem of a sub-quadratic elliptic system with coefficients of vanishing mean oscillation and right-hand side in divergence form in Reifenberg flat domains. We first obtain decay estimates for gradients of local weak solutions to the Dirichlet problem. We establish pointwise estimates by using the restricted sharp maximal operator. As a consequence, global regularity estimates for gradients of solutions in Reifenberg flat domains are obtained in W^{1,q} and BMO spaces.