On Homogenization of Non-Divergence Form Partial Difference Equations
Joseph G. Conlon, University of Michigan, USA
Ian F. Pilizzotto, University of Michigan, USA
Abstract
In this paper a method for proving homogenization of divergence form
elliptic equations is extended to the non-divergence case. A new proof of
homogenization is given when the coefficients in the equation are assumed to be
stationary and ergodic. A rate of convergence theorem in homogenization is also
obtained, under the assumption that the coefficients are i.i.d. and the
elliptic equation can be solved by a convergent perturbation series.
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