08-17
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)
- MSC:
- 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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