Article
MSC:
35B27,
35B30,
35B40,
35J25,
35R05,
49J20 | MR 2681013 | Zbl 1224.35023 | DOI: 10.21136/MB.2010.140830
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Keywords:
homogenization; uncertain input data; worst scenario
homogenization; uncertain input data; worst scenario
Summary:
We homogenize a class of nonlinear differential equations set in highly heterogeneous media. Contrary to the usual approach, the coefficients in the equation characterizing the material properties are supposed to be uncertain functions from a given set of admissible data. The problem with uncertainties is treated by means of the worst scenario method, when we look for a solution which is critical in some sense.
References:
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