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math.AP2017
Approximate homogenization of convex nonlinear elliptic PDEs
Chris Finlay, Adam M. Oberman
We approximate the homogenization of fully nonlinear, convex, uniformly elliptic Partial Differential Equations in the periodic setting, using a variational formula for the optimal…
math.AP2017★ 5 cited
Approximate homogenization of fully nonlinear elliptic PDEs: estimates and numerical results for Pucci type equations
Chris Finlay, Adam M. Oberman
We are interested in the shape of the homogenized operator for PDEs which have the structure of a nonlinear Pucci operator. A typical operator is $H^{a_1,a_2}(Q,x)…