The Viscosity Solution Approach to the Free Boundary Problem of Phase Transition
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.
王培勇教授简介:
PRESENT RANK & DATE OF RANK: Associate Professor September, 2010
EDUCATION:
Baccalaureate B.S. Tsinghua University 1991
Master’s Degree M.S. Chinese Academy 1994
Doctoral Degree Ph.D. New York University 1999(导师为著名数学大师:Luis Caffarelli)