题目：On the regularity of weak solutions of parabolic equations

报告人：张立群  (中科院数学所)

摘要：We review the proof of regularity of weak solutions for heat equations and then consider a class of ultraparabolic differential equations with measurable coefficients and lower order terms.  It is proved that weak solutions to the equation are Holder continuous, which generalizes the classic results of parabolic equations with general coefficients. The main observation is a weak Sobolev inequality and Poincare inequality related to weak sub-solutions. This is a jointed work with Wang Wendong.

时间：2019年3月29日  10:00-12:00

地点：蒙民伟楼1105室

邀请人：陈学长 老师