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.
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页码：271 / 284
页数：14
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