演講公告

演講主題：On the De Girogi’s method as applied to the regularity theory for a parabolic nonlinear integral operator
主講人：Chi Hin Chan 博士
演講日期：2012年3月5日(星期一) 上午8:15 –9:15
演講地點：(光復校區) 科學一館307室
摘要內容：
關於講者：
University of Texas at Austin, Ph.D. in Mathematics
Postdoctoral fellow, The Institute of Mathematical Sciences and
the Dept. of Mathematics at Chinese University of Hong Kong

演講簡介：
In this talk, I will present a piece of work with professors Luis Caffarelli, and Alexis Vasseur, in which we proved the regularity of solutions to a type of linear parabolic evolution equation with a nonlinear integral operator. The kernel K(t,x,y) associated to the nonlinear integral operator in the above mentioned work will preserve some of the features of the standard kernel 1/|x-y|^{N+s} (with N to be a positive integer and 0<s<2) of the fractional Laplacian (-\triangle)^{s/2}, such as the local structure of 1/|x-y|^{N+s} (as the variables x and y are close to each other) and the far range decay of 1/|x-y|^{N+s} (as |x-y| becomes large). In this talk, we will focus on some of the details of the De Giorigi’s method which we developed and which eventually gives the regularity of solutions to the parabolic equation.
相關檔案：_speech0305.doc

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