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

Author(s)
Uri
Date Issued
2012-06
Date Available
2012-09-25T15:07:04Z
Abstract
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.
Sponsorship
Not applicable
Type of Material
Journal Article
Publisher
Wiley
Journal
Mathematische Nachrichten
Volume
285
Issue
8-9
Start Page
1052
End Page
1062
Copyright (Published Version)
2012 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
Subjects

Biharmonic operator

Fischer operator

Positive polynomial d...

Positive solutions

Subject – LCSH
Biharmonic equations
Polynomials
DOI
Language
English
Status of Item
Peer reviewed
This item is made available under a Creative Commons License
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