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2005, 2005(Special): 920-929. doi: 10.3934/proc.2005.2005.920

Doubly nonlinear evolution equations associated with elliptic-parabolic free boundary problems

Noriaki Yamazaki 1,

1. 

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

Received  September 2004 Revised  March 2005 Published  September 2005

We study an abstract doubly nonlinear evolution equation associated with elliptic-parabolic free boundary problems. In this paper we show the existence and uniqueness of solution for the doubly nonlinear evolution equation. Moreover we apply our abstract results to an elliptic-parabolic free boundary problem.
Keywords: elliptic-parabolic equation, Nonlinear evolution equation, free boundary problem..
Mathematics Subject Classification: Primary: 35K90, 35R70; Secondary: 35R3.
Citation: Noriaki Yamazaki. Doubly nonlinear evolution equations associated with elliptic-parabolic free boundary problems. Conference Publications, 2005, 2005 (Special) : 920-929. doi: 10.3934/proc.2005.2005.920
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