演講公告
新聞標題： ( 2012-10-03 )
演講主題：About the regularity of solutions to parabolic type equations with diffusion term represented by a nonlocal integral operator
主講人：陳子軒 教授(交通大學應用數學系)
演講日期：2012年10月9日(星期二) 下午 2:00 –3:00
演講地點：(光復校區) 科學一館223室
茶會時間：當天下午1:30 (科學一館205室)
摘要內容：
In this talk, we will discuss the regularity or the possible loss of regularity
of solutions to the Burgers's equation or the quasi-geostrophic equation with diffusion terms given by fractional Laplacians. In the talk, we will begin with two different characterizations of the critical fractional Laplacian with exponent 1/2 to motivate the talk.
In particular, we would like to stress the nonlocal nature of the fractional Laplacian, and to say something about the way in which the solutions are affected by the presence of a fractional Laplacian as a nonlocal operator in the PDE in question. In particular, we will bring to the audiences'attention the recent important works in this area due to L. Caffarelli,A. Vasseur, A. Kiselev, F. Nazarov etc.
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