Acta mathematica scientia,Series A ›› 2009, Vol. 29 ›› Issue (2): 328-333.

• Articles • Previous Articles     Next Articles

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

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

CLC Number: 

  • 35K10
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