Abstract
We present a homogenization result for L ∞ variational problems in general stationary ergodic random environments. By introducing a generalized notion of distance function (a special solution of an associated eikonal equation) and demonstrating a connection to absolute minimizers of the variational problem, we obtain the homogenization result as a consequence of the fact that the latter homogenizes in random environments.
Original language | English (US) |
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Pages (from-to) | 3508-3535 |
Number of pages | 28 |
Journal | Advances in Mathematics |
Volume | 229 |
Issue number | 6 |
DOIs | |
State | Published - Apr 1 2012 |
Keywords
- Eikonal equation
- Hamilton-Jacobi equation
- L calculus of variations
- Stochastic homogenization
ASJC Scopus subject areas
- Mathematics(all)