Electronic Communications in Probability

Electronic Communications in Probability > Vol. 10 (2005) > Paper 13

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.

Full text: PDF

Pages: 125-135

Published on: June 9, 2005

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Electronic Communications in Probability. ISSN: 1083-589X