Uniform asymptotic formulae for Green's functions in singularly perturbed domains
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🧮 math.AP
keywords
domainsformulaeasymptoticfunctionsgreencasesconsideredfeature
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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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