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math-ph2010
Green's kernels for transmission problems in bodies with small inclusions
Vladimir Maz'ya, Alexander Movchan, Michael Nieves
The uniform asymptotic approximation of Green's kernel for the transmission problem of antiplane shear is obtained for domains with small inclusions. The remainder estimates are pr…
math-ph2010
Mesoscale asymptotic approximations to solutions of mixed boundary value problems in perforated domains
Vladimir Maz'ya, Alexander Movchan, Michael Nieves
We describe a method of asymptotic approximations to solutions of mixed boundary value problems for the Laplacian in a three-dimensional domain with many perforations of arbitrary…