Quantitative homogenization of state-constraint Hamilton--Jacobi equations on perforated domains and applications
- Resource Type
- Working Paper
- Authors
- Han, Yuxi; Jing, Wenjia; Mitake, Hiroyoshi; Tran, Hung V.
- Source
- Subject
- Mathematics - Analysis of PDEs
35B10, 35B27, 35B40, 35F21, 49L25
- Language
We study the periodic homogenization problem of state-constraint Hamilton--Jacobi equations on perforated domains in the convex setting and obtain the optimal convergence rate. We then consider a dilute situation in which the holes' diameter is much smaller than the microscopic scale. Finally, a homogenization problem with domain defects where some holes are missing is analyzed.