Some new properties of biharmonic heat kernels

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


Preprint series: 08-17, Preprints

The paper is published: Nonlinear Analysis 70, 2965 - 2973 (2009)

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


Abstract: Contrary to the second order case, biharmonic heat kernels are sign-changing. A deep knowledge of their behaviour may however allow to prove positivity results for solutions of the Cauchy problem. We establish further properties of these kernels, we prove some Lorch-Szeg -type monotonicity results and we give some hints on how to obtain similar results for higher polyharmonic parabolic problems.

Keywords: biharmonic parabolic equations, heat kernels

Notes: Bitte Gazzola korrekt schreiben

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Letzte Änderung: 01.03.2018 - Ansprechpartner:

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