主题：Wiener-type boundary estimates for elliptic and parabolic equations

主讲人：重庆大学廖乃安博士

主持人：经济数学学院林可副教授

时间：2019年4月30日（星期五）下午16:00-17:00

地点：西南财经大学柳林校区通博楼B412会议室

主办单位：经济数学学院科研处

主讲人简介：

重庆大学数学系讲师。博士毕业于美国Vanderbilt大学。研究兴趣是偏微分方程的正则性理论。现主持青年基金一项。

主要内容：

In 1924, Wiener established the well known criterion on the harmonic extension of continuous data on rough domains. In this talk, I will review known results on the Wiener criterion for elliptic and parabolic equations. Estimates of modulus of continuity for solutions at the boundary will be given in terms of a Wiener-type integral, defined by a notion of capacity. In particular, some recent advances on such estimates for solutions to singular or degenerate parabolic equations will be reported.