Journal
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
Volume 245, Issue 2, Pages 809-817Publisher
SPRINGER
DOI: 10.1007/s00205-022-01797-x
Keywords
-
Categories
Ask authors/readers for more resources
We studied a problem concerning the Hamilton-Jacobian equation, where the Hamiltonian is periodic, coercive, and convex. By combining the representation formula from optimal control theory and a theorem by Alexander, we obtained a homogenized rate that is close to optimal and holds in all dimensions.
We consider a Hamilton-Jacobi equation where the Hamiltonian is periodic in space and coercive and convex in momentum. Combining the representation formula from optimal control theory and a theorem of Alexander, originally proved in the context of first-passage percolation, we find a rate of homogenization which is within a log-factor of optimal and holds in all dimensions.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available