### On the sign of solutions to some linear parabolic biharmonic equations

Elvise Berchio

#### Abstract

We study the sign of the solution of a linear parabolic biharmonic Cauchy problem in $\mathbb R^n$ by varying both the source and the initial datum. Eventual local positivity is proved under different assumptions and the problem of global positivity is discussed.

#### Article information

Source
Adv. Differential Equations, Volume 13, Number 9-10 (2008), 959-976.

Dates
First available in Project Euclid: 18 December 2012