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On Homogenization of Non-Divergence Form Partial Difference Equations

   
@article{ECP1141,
	author = {Joseph Conlon and Ian Pilizzotto},
	title = {On Homogenization of Non-Divergence Form Partial  Difference Equations},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {10},
	year = {2005},
	keywords = {},
	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.},
	pages = {no. 13, 125-135},
	issn = {1083-589X},
	doi = {10.1214/ECP.v10-1141},    
        url = {http://ecp.ejpecp.org/article/view/1141}}