报 告 人：闫百胜

　　报告地点：数学与统计学院615室

　　报告时间：2014年06月11日星期三14:30-15:30

　　报告简介：

　　We study a forward-backward parabolic equation from the Perona-Malik model for image processing. Although this model and its numerical implementation have played some important role for edge enhancement and image restoration in image processing, the model itself has also raised many interesting and open mathematical problems. For example, the existence of solutions to the Perona-Malik equation with arbitrarily given initial data has remained unknown for many years until it was proved for one-dimensional problem a few years ago. In this talk, I will discuss a new approach of studying the n-dimensional Perona-Malik equation as a differential inclusion and report the recent result on the existence of infinitely many weak solutions to the Neumann boundary problem for Perona-Malik equation with arbitrary smooth non-constant initial data.

　　主讲人简介：

　　美国密歇根州立大学数学系教授, 美国明尼苏达大学数学博士。