Open AccessEventual local positivity for a biharmonic heat equation in <I>R</I><SUP><I>N</I></SUP>
Author(s) -
Filippo Gazzola,
Hans-Christoph Grunau
Publication year - 2008
Publication title -
discrete and continuous dynamical systems - s
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 34
eISSN - 1937-1632
pISSN - 1937-1179
DOI - 10.3934/dcdss.2008.1.83
Subject(s) - biharmonic equation , heat equation , mathematics , property (philosophy) , order (exchange) , mathematical physics , pure mathematics , combinatorics , mathematical analysis , philosophy , boundary value problem , economics , epistemology , finance
We study the positivity preserving property for the Cauchy problem for the linear fourth order heat equation. Although the complete positivity preserving property fails, we show that it holds eventually on compact sets.
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