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On Homogenization of Non-Divergence Form Partial Difference Equations


 
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1. Title Title of document On Homogenization of Non-Divergence Form Partial Difference Equations
 
2. Creator Author's name, affiliation, country Joseph G. Conlon; University of Michigan, USA
 
2. Creator Author's name, affiliation, country Ian F. Pilizzotto; University of Michigan, USA
 
3. Subject Discipline(s)
 
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4. Description 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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7. Date (YYYY-MM-DD) 2005-06-09
 
8. Type Status & genre Peer-reviewed Article
 
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9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/1141
 
10. Identifier Digital Object Identifier 10.1214/ECP.v10-1141
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 10
 
12. Language English=en
 
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