摘要
本文研究了DGH方程的持久性和唯一连续性。我们证明:如果DGH方程的强解与它的空间导数在初始时刻指数递减,而且在以后的任一时刻解本身也指数递减,那么解必然恒为零。
The persistence and unique continuation properties of solutions of the DGH equation are studied in this paper. It is shown that a strong solution of the DGH equation, initially decaying exponentially together with its spacial derivative, must be identically equal to zero if it also decays exponentially at a later time.
出处
《工程数学学报》
CSCD
北大核心
2009年第3期416-422,共7页
Chinese Journal of Engineering Mathematics
基金
The Natural Science Foundation of China (10671153
10671156)
关键词
DGH方程
唯一连续性
持久性
DGH equation
unique continuation property
persistence property
