Calculus of Variations and Geometric Measure Theory
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R. Frank - H. Kovarik

Heat kernels of metric trees and applications

created by kovarik on 29 Aug 2011
modified on 20 Dec 2013


Published Paper

Inserted: 29 aug 2011
Last Updated: 20 dec 2013

Journal: SIAM J. MATH. ANAL.
Volume: 45
Pages: 20
Year: 2013
Doi: 10.1137/120886297


We consider the heat semi-group generated by the Laplace operator on metric trees. Among our results we show how the behavior of the associated heat kernel depends on the geometry of the tree. As applications we establish new eigenvalue estimates for Schrödinger operators on metric trees.


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