Higher Multiplicity in the One-Dimensional Allen-Cahn Action Functional


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Please use this identifier to cite or link to this item:https://doi.org/10.14943/83971

Title:	Higher Multiplicity in the One-Dimensional Allen-Cahn Action Functional
Authors:	Reznikoff, Maria G Browse this author
Authors:	Tonegawa, Yoshihiro Browse this author
Keywords:	Allen-Cahn equation
	stochastic partial di®erential equations
	large deviation theory
	action minimization
	sharp-interface limits
	¡-convergence
Issue Date:	15-Dec-2006
Publisher:	Department of Mathematics, Hokkaido University
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	821
Start Page:	1
End Page:	55
Abstract:	We prove the ¡-convergence of the Allen-Cahn action functional in the sharp-interface limit. In previous work, good lower bounds were developed under the assumption of single-multiplicity, but the bounds deteriorated in the case of higher-multiplicity interfaces. We develop improved bounds by working directly with the limiting energy measures.
Type:	bulletin (article)
URI:	http://hdl.handle.net/2115/69629
Appears in Collections:	理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

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