Corrector theory for elliptic equations in random media with singular Green’s function. application to random boundaries
نویسندگان
چکیده
منابع مشابه
Corrector theory for elliptic equations in random media with singular Green’s function. Application to random boundaries
We consider the problem of the random fluctuations in the solutions to elliptic PDEs with highly oscillatory random coefficients. In our setting, as the correlation length of the fluctuations tends to zero, the heterogeneous solution converges to a deterministic solution obtained by averaging. When the Green’s function to the unperturbed operator is sufficiently singular (i.e., not square integ...
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ژورنال
عنوان ژورنال: Communications in Mathematical Sciences
سال: 2011
ISSN: 1539-6746,1945-0796
DOI: 10.4310/cms.2011.v9.n2.a3