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

• Reznikoff Maria G

• Tonegawa Yoshihiro

抄録

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.

収録刊行物

• Hokkaido University Preprint Series in Mathematics

  Hokkaido University Preprint Series in Mathematics 821 1-55, 2006-12-15

  Department of Mathematics, Hokkaido University

キーワード

• Allen-Cahn equation
• stochastic partial di®erential equations
• large deviation theory
• action minimization
• sharp-interface limits
• ¡-convergence

詳細情報

• CRID: 1390290699772086400
• NII論文ID: 120006459525
• DOI: 10.14943/83971
• HANDLE: 2115/69629
• 本文言語コード: en
• データソース種別:
  • JaLC
  • IRDB
  • CiNii Articles
• 抄録ライセンスフラグ: 使用可