数学物理学报 ›› 2009, Vol. 29 ›› Issue (2): 328-333.

• 论文 • 上一篇    下一篇

非柱形区域中抛物方程的唯一性

李静   

  1. (西南财经大学经济数学学院 |成都 611130)
  • 收稿日期:2007-11-30 修回日期:2008-07-05 出版日期:2009-04-25 发布日期:2009-04-25
  • 基金资助:

    国家自然科学基金(10371084, 10525105)和新世纪优秀人才支持计划(NCET-04-0882)资助

Uniqueness for Parabolic Equations in Non-cylindrical Domains

Li Jing   

  1. (School of Economic Mathematics, Southwestern |University of Finance and Economics, Chengdu 611130)
  • Received:2007-11-30 Revised:2008-07-05 Online:2009-04-25 Published:2009-04-25
  • Supported by:

    国家自然科学基金(10371084, 10525105)和新世纪优秀人才支持计划(NCET-04-0882)资助

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.

关键词: 唯一延拓, 倒向唯一, 抛物方程, 非柱形区域

Abstract:

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.

Key words: Unique continuation, Backward uniqueness, Parabolic equation, Non-cylindrical domain

中图分类号: 

  • 35K10