A convergence rate of periodic homogenization for forced mean curvature flow of graphs in the laminar setting

A convergence rate of periodic homogenization for forced mean curvature flow of graphs in the laminar setting

In this paper, we obtain the rate O ( ε 1 / 2 ) of convergence in periodic homogenization of forced graphical mean curvature flows in the laminated setting. We also discuss with an example that a faster rate cannot be obtained by utilizing Lipscthiz estimates.

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Veröffentlicht in:Nonlinear differential equations and applications 2024-05, Vol.31 (3), Article 36
1. Verfasser: Jang, Jiwoong
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Convergence
Curvature
Homogenization
Mathematics
Mathematics and Statistics
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Zusammenfassung:In this paper, we obtain the rate O ( ε 1 / 2 ) of convergence in periodic homogenization of forced graphical mean curvature flows in the laminated setting. We also discuss with an example that a faster rate cannot be obtained by utilizing Lipscthiz estimates.
ISSN:1021-9722
1420-9004
DOI:10.1007/s00030-024-00929-4