• Corpus ID: 239016278

A near-optimal rate of periodic homogenization for convex Hamilton-Jacobi equations

  title={A near-optimal rate of periodic homogenization for convex Hamilton-Jacobi equations},
  author={William Cooperman},
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. 


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