he Viscosity Solution Approach to the Free Boundary Problem of Phase Transition
讲座名称：
he Viscosity Solution Approach to the Free Boundary Problem of Phase Transition
讲座时间：
2019-06-12
讲座人：
王培勇
形式：
校区：
兴庆校区
实践学分：
讲座内容：
报告题目：The Viscosity Solution Approach to the Free Boundary Problem of Phase Transition
报告时间：2019年6月 12日、13日，星期三、星期四，上午10：00—12：00
报告地点：数学楼2-1会议室
报告人：王培勇教授 美国韦恩州立大学数学系
报告摘要：
I will go over the classical theory of existence and regularity of a solution of the phase transition problem established by Luis A. Caffarelli in this lecture and briefly touch the various generalizations. For a uniformly elliptic equation,the emphasis will be put on the monotonicity formula and method of continuity in the proof, while for a degenerate equation, the properties of a positive solution over a Lipschitz domain or a star-like domain will be the key part.
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