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math.AP2006
Uniform asymptotic formulae for Green's functions in singularly perturbed domains
V. Maz'ya, A. Movchan
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…
math.AP2006
Uniform asymptotic formulae for Green's kernels in regularly and singularly perturbed domains
Vladimir Maz'ya, Alexander B. Movchan
Asymptotic formulae for Green's kernels of various boundary value problems for the Laplace operator are obtained in regularly perturbed domains and certain…