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

✍ Scribed by Hermann Render; Marius Ghergu

Publisher
John Wiley and Sons
Year
2012
Tongue
English
Weight
171 KB
Volume
285
Category
Article
ISSN
0025-584X

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✦ Synopsis

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.

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