The clamped-plate equation for the limacon

被引：13

作者：

Dall'Acqua, Anna ^{[1
]}

Sweers, Guido ^{[1
]}

机构：

[1] Delft Univ Technol, ITS Fac, Dept Appl Math Anal, NL-2600 GA Delft, Netherlands

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2005年 / 184卷 / 03期

关键词：

clamped plate; biharmonic; positivity; nonconvex;

D O I：

10.1007/s10231-004-0121-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Hadamard claimed in 1907 that the clamped-plate equation is positivity preserving for domains which are bounded by a Lima on de Pascal. We will show that this claim is false in its full generality. However, we will also prove that there are nonconvex limacons for which the clamped-plate equation has the sign-preserving property. In fact we will give an explicit bound for the parameter of the lima on where sign change may occur.

引用

页码：361 / 374

页数：14

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