Uniform asymptotic formulae for Green's functions in singularly perturbed domains

V. Maz'ya; A. Movchan

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Uniform asymptotic formulae for Green's functions in singularly perturbed domains

V. Maz'ya·A. Movchan

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Abstract

Asymptotic formulae for Green's functions for the operator $-\GD$ in domains with small holes are obtained. A new feature of these formulae is their uniformity with respect to the independent variables. The cases of multi-dimensional and planar domains are considered.

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V. Maz'ya, A. Movchan. 2006-02-12. Uniform asymptotic formulae for Green's functions in singularly perturbed domains. https://arxiv.org/abs/math/0601707

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