Positivity properties for the clamped plate boundary problem on the ellipse and strip

被引：1
|
作者：
Render, Hermann [1 ]
Ghergu, Marius [1 ]
机构：
[1] Natl Univ Ireland Univ Coll Dublin, Sch Math Sci, Dublin 4, Ireland
来源：
MATHEMATISCHE NACHRICHTEN | 2012年 / 285卷 / 8-9期
关键词：
Biharmonic operator; positive polynomial data; positive solutions; Fischer operator; MSC (2010) 35J40; 35J08; 31A30; 31B30; EQUATIONS; GOURSAT;
D O I：
10.1002/mana.201100045
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The positivity preserving property for the biharmonic operator with Dirichlet boundary condition is investigated. We discuss here the case where the domain is an ellipse (that may degenerate to a strip) and the data is a polynomial function. We provide various conditions for which the positivity is preserved.
引用
收藏
页码：1052 / 1062
页数：11
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