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

Render Hermann | Zendy; Ghergu Marius | Zendy

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

Author(s) -

Render Hermann,

Ghergu Marius

Publication year - 2012

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.201100045

Subject(s) - biharmonic equation , mathematics , ellipse , boundary (topology) , domain (mathematical analysis) , mathematical analysis , boundary value problem , degenerate energy levels , property (philosophy) , dirichlet boundary condition , operator (biology) , geometry , physics , philosophy , biochemistry , chemistry , epistemology , repressor , quantum mechanics , transcription factor , gene

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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