Advances in Differential Equations

On the sign of solutions to some linear parabolic biharmonic equations

Elvise Berchio

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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

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

First available in Project Euclid: 18 December 2012

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35K30: Initial value problems for higher-order parabolic equations
Secondary: 35B05: Oscillation, zeros of solutions, mean value theorems, etc. 35K55: Nonlinear parabolic equations


Berchio, Elvise. On the sign of solutions to some linear parabolic biharmonic equations. Adv. Differential Equations 13 (2008), no. 9-10, 959--976.

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