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

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

2006-01-29

arxiv.org/abs/math/0601707v2

Mathematics

Analysis of PDEs

19 pages

Scientific paper

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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