报告 人:张立群 研究员 报告题目:On the regularity of weak solution of parabolic equations 报告时间:2017年9月21日上午9:00-10:00 报告地点:知新楼B座1238 主办单位:数学学院、金融研究院 报告内容摘要:We review the proof of regularty of weak solutions for heatequations and then consider a class of ultraparabolic differential equationswith measurable coefficients and lower order terms. It is proved that weak solutions to theequation are Holder continuous,which generalizes the classic results ofparabolic equations with general coefficients. The main observation is a weakSobolev inequality and Poincare inequality related to weak sub-solutions. Thisis a jointed work with Wang Wendong. 欢迎各位老师同学积极参加! |