65 citations · 149 across the 21 of their papers we have counts for
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math.OC2017
Perturbation problems in homogenization of hamilton-jacobi equations
Pierre Cardaliaguet, Claude Le Bris, Panagiotis Souganidis
This paper is concerned with the behavior of the ergodic constant associated with convex and superlinear Hamilton-Jacobi equation in a periodic environment which is perturbed eithe…
math.OC2016★ 6 cited
On the best constant matrix approximating an oscillatory matrix-valued coefficient in divergence-form operators
Claude Le Bris, Frederic Legoll, Simon Lemaire
We approximate an elliptic problem with oscillatory coefficients using a problem of the same type, but with constant coefficients. We deliberately take an engineering perspective,…