中科院数学与系统科学研究院
数学研究所
学术报告会
报告人：吴 杰 博士（天津大学)
题 目：The Landis-Oleinik conjecture in the half space
时 间：2016.04.12（星期二）, 14:30--16:30
地 点：数学院南楼N208室
Abstract:
In 1974, Landis and Oleinik conjectured that if a bounded solution of a parabolic equation decays faster than e^(-〖|x|〗^2 ) at some time, then the solution must vanish identically before this time, provided the coefficients of the equation satisfy appropriate conditions at infinity. This conjecture is one of the most fundamental problems in the theory of unique continuation of parabolic equations. In this talk, we prove the Landis-Oleinik conjecture in the half space under optimal conditions of the coefficients. This is a joint work with professor Liqun Zhang.
