Windows of given area with minimal heat diffusion

被引：30

作者：

Denzler, J ^{[1
]}

机构：

[1] Univ Munich, Inst Math, D-80333 Munich, Germany

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1999年 / 351卷 / 02期

关键词：

D O I：

10.1090/S0002-9947-99-02207-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a bounded Lipschitz domain Omega, we show the existence of a measurable set D subset of partial derivative Omega of given area such that the first eigenvalue of the Laplacian with Dirichlet conditions on D and Neumann conditions on partial derivative Omega \ D becomes minimal. If Omega is a ball, D will be a spherical cap.

引用

页码：569 / 580

页数：12

共 18 条

[1]

Adams R, 1978, Sobolev spaces

[2] ESTIMATES NEAR THE BOUNDARY FOR SOLUTIONS OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS SATISFYING GENERAL BOUNDARY CONDITIONS .1. [J].