American Institute of Mathematical Sciences

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2007, 2007(Special): 614-623. doi: 10.3934/proc.2007.2007.614

Periodic stability of elliptic-parabolic variational inequalities with time-dependent boundary double obstacles

Masahiro Kubo 1, and  Noriaki Yamazaki 2,

1. 

Department of Mathematics, Nagoya Institute of Technology, Gokiso-cho, Showa-ku, Nagoya 466-8555
2. 

Department of Mathematical Science, Common Subject Division, Muroran Institute of Technology, 27-1 Mizumoto-chō, Muroran

Received  September 2006 Revised  January 2007 Published  September 2007

We consider periodic problems of elliptic-parabolic variational inequalities with time-dependent boundary double obstacles. In this paper we assume that the given boundary obstacles change periodically in time. Then, we prove the existence, uniqueness and asymptotic stability of a periodic solution to our problem.
Keywords: Periodic stability, elliptic-parabolic variational inequality, boundary constraints..
Mathematics Subject Classification: 35B10, 35B40, 35J60, 35K55, 35M1.
Citation: Masahiro Kubo, Noriaki Yamazaki. Periodic stability of elliptic-parabolic variational inequalities with time-dependent boundary double obstacles. Conference Publications, 2007, 2007 (Special) : 614-623. doi: 10.3934/proc.2007.2007.614
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