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Some new properties of biharmonic heat kernels
- Source :
-
Nonlinear Analysis . Apr2009, Vol. 70 Issue 8, p2965-2973. 9p. - Publication Year :
- 2009
-
Abstract
- Abstract: Contrary to the second-order case, biharmonic heat kernels are sign-changing. A deep knowledge of their behaviour may however allow us to prove positivity results for solutions of the Cauchy problem. We establish further properties of these kernels, we prove some Lorch–Szegö-type monotonicity results and we give some hints on how to obtain similar results for higher order polyharmonic parabolic problems. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0362546X
- Volume :
- 70
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Nonlinear Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 36969963
- Full Text :
- https://doi.org/10.1016/j.na.2008.12.039