摘要
该文证明了非柱形区域中抛物方程解的两个唯一性.一个是边界随时间变化的区域中解的唯一延拓性,另一个是边界随时间变化的外区域中解的倒向唯一性.
This work concerns the uniqueness of solutions to parabolic equations in domains which are moving in time. Two uniqueness results are proved. The first one is the unique continuation property for parabolic equations in non-cylindrical domains. The second one is the backward uniqueness for parabolic equations in exterior domains with moving boundary.
出处
《数学物理学报（A辑）》
CSCD
北大核心
2009年第2期328-333,共6页
Acta Mathematica Scientia
基金
国家自然科学基金(10371084
10525105)
新世纪优秀人才支持计划(NCET-04-0882)资助
关键词
唯一延拓
倒向唯一
抛物方程
非柱形区域.
Unique continuation
Backward uniqueness
Parabolic equation
Non-cylindrical domain.
