Local eventual positivity for a biharmonic heat equation in R^n

by Gazzola, F.; Grunau, H.-Ch.


Preprint series: 06-41, Preprints

The paper is published: Discrete cont. dynam. systems - S (Proceedings etc.) 1 , 83 - 87 (2008).

35B50 Maximum principles
35K30 Initial value problems for higher-order, parabolic equations


Abstract: 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.

Keywords: local eventual positivity, biharmonic heat equation, Bessel functions, Lorch-Szegoe-theorem

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