Uniform asymptotic formulae for Green's functions in singularly perturbed domains
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摘要
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.
论文关键词：35J05,35J25,Hadamard's variational formula,Green's function,Singular perturbations
论文评审过程：Received 23 December 2005, Available online 30 November 2006.
论文官网地址：https://doi.org/10.1016/j.cam.2006.10.038
