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学术报告

On the regularity of weak solution of parabolic equations-张立群研究员 (中国科学院数学与系统科学研究院)

题目: On the regularity of weak solution of parabolic equations

报告人: 张立群研究员  (中国科学院数学与系统科学研究院)

摘要:

  We review the proof of regularty 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:2017年6月14日(周三) 上午10:30--11:30

地点:首师大新教二楼527 教室

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