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一类椭圆方程的边界唯一延拓性

Unique Continuation at the Boundary of Elliptic Equation
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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. 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.
出处 《Journal of Mathematical Research and Exposition》 CSCD 北大核心 2002年第3期433-440,共8页 数学研究与评论(英文版)
关键词 椭圆方程 边界 唯一延拓性 连通凸区域 Schrodinger equation Kato classes convex domains.
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参考文献10

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