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

Masahiro Kubo; Noriaki Yamazaki

doi:10.3934/proc.2007.2007.614

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2007, Volume 2007: 614-623. Doi: 10.3934/proc.2007.2007.614 open access

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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: August 31, 2006

Revised: December 31, 2006

Published: August 2007

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Abstract

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, 35M10.

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