Premium
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.