一类椭圆方程的边界唯一延拓性

Unique Continuation at the Boundary of Elliptic Equation

中文关键词:  唯一延拓性  连通凸区域

英文关键词:Schrodinger equation  Kato classes  convex domains.

中文摘要:

      本文主要讨论了一类二阶椭圆方程Lu=-△u+Vu=0的弱解在连通凸区域边界上的唯一延拓性,并且证明了文[4]中提出的猜测在本文的情形同样成立.

英文摘要:

      In this paper, we study the relation with the weak solution of certain elliptic equation of second order and unique continuation at the boundary of connected, convex domains. And we prove the conjecture on [4] is also true at this case.