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
Abstract:
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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