Moderately close Neumann inclusions for the Poisson equation

被引：3

作者：

Dalla Riva, Matteo ^{[1
]}

Musolino, Paolo ^{[2
]}

机构：

[1] Univ Tulsa, Dept Math, 800 South Tucker Dr, Tulsa, OK 74104 USA

[2] Univ Padua, Dipartimento Matemat, Via Trieste 63, I-35121 Padua, Italy

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2018年 / 41卷 / 03期

基金：

欧盟地平线“2020”;

关键词：

mixed problem; singularly perturbed perforated domain; moderately close holes; Poisson equation; real analytic continuation in Banach space; REAL ANALYTIC FAMILIES; HARMONIC-FUNCTIONS; PLANAR DOMAIN;

D O I：

10.1002/mma.4028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the behavior of the solution of a mixed problem for the Poisson equation in a domain with two moderately close holes. If ?(1) and ?(2) are two positive parameters, we define a perforated domain (?(1),?(2)) by making two small perforations in an open set: the size of the perforations is ?(1)?(2), while the distance of the cavities is proportional to ?(1). Then, if r is small enough, we analyze the behavior of the solution for (?(1),?(2)) close to the degenerate pair (0,r). Copyright (c) 2016 John Wiley & Sons, Ltd.

引用

页码：986 / 993

页数：8

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