Zurück zu den Preprints des Jahres 2006


2006-41

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

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


Series: 2006-41, Preprints

MSC:
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

This paper was published in:
Discrete cont. dynam. systems - S (Proceedings etc.) 1 , 83 - 87 (2008).