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Single VS total blowup for a reaction diffusion equation with nonlocal source
澳门新葡8455最新网站:2014年08月21日 00:00 点击数:

报告人:穆春来

报告地点:澳门新葡8455最新网站615室

报告澳门新葡8455最新网站:2014年08月29日星期五11:30-12:30

邀请人:

报告摘要:

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.

主讲人概况:

穆春来, 重庆大学数学教授、博士生导师。四川省学术与技术带头人后备人选、教育部“新世纪优秀人才支撑计划”入选者。现担任中国数学会普及工作委员会副主任。

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