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Showing 2009 · math.APShow all
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math.AP2009
Asymptotic treatment of perforated domains without homogenization
V. Maz'ya, A. Movchan
As a main result of the paper, we construct and justify an asymptotic approximation of Green's function in a domain with many small inclusions. Periodicity of the array of inclusio…
math.AP2009
Pointwise estimates for the polyharmonic Green function in general domains
Svitlana Mayboroda, Vladimir Maz'ya
In the present paper we establish sharp pointwise estimates on the polyharmonic Green function and its derivatives in an arbitrary bounded open set.