Quantitative stochastic homogenization of the G equation

• 成果类型: Article
• 署名作者: Cooperman, William
• 署名单位: University of Chicago
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s00440-022-01175-4
• 发表日期: 2023
• 页码: 493-520
• 关键词: hamilton-jacobi equations; convergence-rates

摘要

We prove a quantitative rate of homogenization for the G equation in a random environment with finite range of dependence. Using ideas from percolation theory, the proof bootstraps a result of Cardaliaguet-Souganidis, who proved qualitative homogenization in a more general ergodic environment.