# Some homogenization results for non-coercive Hamiltonï¿½Jacobi equations

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We estimate the variance of the value function for a random optimal control problem. The value function is the solution w of a Hamilton-Jacobi equation with random Hamiltonian H( p, x, Ï‰)= K( p)âˆ’ V( x/ Ïµ, Ï‰) in dimension dâ‰¥2. It is known that homogenization occurs as...