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2017年信息与数学学院学术报告(十六)

报告题目: On weighted mixed-norm Sobolev estimates for some basic parabolic equations

人:李平(武汉大学 博士)

报告地点:8406
报告时间:2017922(周五)  16:00-17:00

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摘要:

In this work, novel global weighted parabolic Sobolev estimates, weighted mixed-norm estimates and almost everywhere convergence results of singular integrals for evolution equations are obtained. Our results include classical heat equations and harmonic oscillator evolution equations and their corresponding Cauchy problems. We also show weighted mixed-norm estimates for solutions to degenerate parabolic extension problems arising in connection with the fractional space-time nonlocal heat equations and harmonic oscillator equations.

                             

报告人简介:李平,博士, 20176月毕业于武汉大学数学与统计学院,20139月到201612月留学于西班牙马德里自治大学数学系,师从国际著名调和分析专家Jose Luis Torrea教授,在导师的指导下从事调和分析、PDEs和半群等方面的研究,已经完成多篇高水平的学术论文。