A boundary value problem of mixed type on perforated domains

被引：13

作者：

Figari, R. ^{[1
]}

Teta, A. ^{[2
]}

机构：

[1] Univ Naples, Dipartimento Sci Fis, I-80125 Naples, Italy

[2] Ruhr Univ Bochum, Inst Math, D-4630 Bochum, Germany

来源：

ASYMPTOTIC ANALYSIS | 1993年 / 6卷 / 03期

关键词：

D O I：

10.3233/ASY-1993-6304

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Figari, R. and A. Teta, A boundary value problem of mixed type on perforated domains, Asymptotic Analysis 6 (1993) 271-284. We analyze a boundary value problem of mixed type with data prescribed on the union of m spheres of small (order m(-1)) radius. We establish the connection to a particular class of zero-range perturbations of the Laplacian and exploit it for the asymptotic (m -> infinity) analysis of the solution. It is shown that in the limit problem the "density of scattering length" enters as an effective potential.

引用

页码：271 / 284

页数：14

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