On the rate of convergence in homogenization of Hamilton-Jacobi equations

By I. Capuzzo-Dolcetta, Hitoshi Ishii. 2001

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Error estimates and convergence rates for the stochastic homogenization of Hamilton-Jacobi equations (2012, methodology): “Rather than apply the comparison principle, we must use the proof of it, following [8].”
Adjoint methods for static Hamilton–Jacobi equations (2009, methodology): “Although our method is slightly complicated than in [ 4 ], it creates a constructive way to study the eective Hamiltonian and we will use this to study the weak KAM theory elsewhere in the future.”
Stochastic homogenization of Hamilton‐Jacobi‐Bellman equations (2006, methodology): “In connection with this approach for Hamilton-Jacobi type and more general equations, let us mention just several representative works [4, 6, 8, 11], where one can find further references.”
Asymptotic and numerical homogenization (2008, result): “We begin with periodic Hamilton–Jacobi equations and, in particular, the problem uε +H ( Duε, x ε , x ) = 0 in Rd. (6.1) The following result was proved by Capuzzo-Dolcetta and Ishii (2001).”