Multiscale problems and homogenization for second-order Hamilton–Jacobi equations
نویسندگان
چکیده
We prove a general convergence result for singular perturbations with an arbitrary number of scales of fully nonlinear degenerate parabolic PDEs. As a special case we cover the iterated homogenization for such equations with oscillating initial data. Explicit examples, among others, are the two-scale homogenization of quasilinear equations driven by a general hypoelliptic operator and the n-scale homogenization of uniformly parabolic fully nonlinear PDEs. © 2007 Elsevier Inc. All rights reserved.
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