Otto-von-Guericke-Universität Magdeburg



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

The author(s) agree, that this abstract may be stored asfull text and distributed as such by abstracting services.

Letzte Änderung: 10.02.2016 - Ansprechpartner: Pierre Krenzlin