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Singular Limit of Allen-Cahn Equation with Constraints and Its Lagrange Multiplier

Mohammad Hassan Farshbaf ShakerTakeshi FukaoNoriaki Yamazaki

出版	Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2014
URL	http://books.google.com.hk/books?id=iNokvwEACAAJ&hl=&source=gbs_api

註釋

We consider the Allen-Cahn equation with constraint. Our constraint is the subdifferential of the indicator function on the closed interval, which is the multivalued function. In this paper we give the characterization of the Lagrange multiplier to our equation. Moreover, we consider the singular limit of our system and clarify the limit of the solution and the Lagrange multiplier to our problem.