Uniform Asymptotics of Green's Kernels for Mixed and Neumann Problems in Domains with Small Holes and Inclusions

Vladimir Maz'ya,Alexander Movchan

doi:10.1007/978-0-387-85652-0_6

Uniform Asymptotics of Green's Kernels for Mixed and Neumann Problems in Domains with Small Holes and Inclusions

Vladimir Maz'ya, Alexander Movchan

https://doi.org/10.1007/978-0-387-85652-0_6

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Publication Date: Jan 1, 2009

Citations: 21

Affiliation: Linköping University, The Ohio State University, University of Liverpool

#Green's Kernels #Neumann Problems In Domains + Show 8 more

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Abstract

Abstract Uniform asymptotic approximations of Green's kernels for the harmonic mixed and Neumann boundary value problems in domains with singularly perturbed boundaries are obtained. We consider domains with small holes (in particular, cracks) or inclusions. Formal asymptotic algorithms are supplied with rigorous estimates of the remainder terms.

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