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

2006/01/29 by Vladimir Maz’ya, Maz'ya, V., A. B. Movchan +1
Computer Science · Mathematics · #35J05 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.math/0601707

openalex publication_date 2006/01/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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