On Homogenization of Non-Divergence Form Partial Difference Equations | Zendy

Joseph P. Conlon | Zendy; Ian Pilizzotto | Zendy

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On Homogenization of Non-Divergence Form Partial Difference Equations

Author(s) -

Joseph P. Conlon,

Ian Pilizzotto

Publication year - 2005

Publication title -

electronic communications in probability

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.236

H-Index - 38

ISSN - 1083-589X

DOI - 10.1214/ecp.v10-1141

Subject(s) - homogenization (climate) , mathematics , ergodic theory , mathematical analysis , rate of convergence , elliptic curve , perturbation (astronomy) , divergence (linguistics) , physics , biodiversity , ecology , channel (broadcasting) , linguistics , philosophy , quantum mechanics , electrical engineering , biology , engineering

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 co- e-cients 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 coe-cients are i.i.d. and the elliptic equation can be solved by a convergent perturbation series,

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