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Uniform asymptotic formulae for Green's functions in singularly perturbed domains |
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| Authors: | V Maz’ya A Movchan |
| Institution: | 1. Department of Mathematical Sciences, University of Liverpool, Liverpool L69 3BX, UK;2. Department of Mathematics, Ohio State University, 231 W 18th Avenue, Columbus, OH 43210, USA;3. Department of Mathematics, Linköping University, SE-581 83 Linköping, Sweden |
| Abstract: | Asymptotic formulae for Green's functions for the operator -Δ 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. |
| Keywords: | 35J05 35J25 |
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