Inserted: 21 nov 2005
Last Updated: 8 feb 2008
Journal: J. Differential Equations
We prove a general convergence result for singular perturbations with an arbirtary 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.
Keywords: Viscosity solutions, iterated homogenization, hypoelliptic operators, nonlinear parabolic equations