Open Access
2005 On Homogenization of Non-Divergence Form Partial Difference Equations
Joseph Conlon, Ian Pilizzotto
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Electron. Commun. Probab. 10: 125-135 (2005). DOI: 10.1214/ECP.v10-1141


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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Joseph Conlon. Ian Pilizzotto. "On Homogenization of Non-Divergence Form Partial Difference Equations." Electron. Commun. Probab. 10 125 - 135, 2005.


Accepted: 9 June 2005; Published: 2005
First available in Project Euclid: 4 June 2016

zbMATH: 1121.35013
MathSciNet: MR2150701
Digital Object Identifier: 10.1214/ECP.v10-1141

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