Eigenvalue estimates for the Laplacian on a metric tree
نویسندگان
چکیده
منابع مشابه
On the Eigenvalue Estimates for the Weighted Laplacian on Metric Graphs
It is shown that the eigenvalues of the equation −λ∆u = V u on a graph G of final total length |G|, with non-negative V ∈ L(G) and under appropriate boundary conditions, satisfy the inequality n2λn ≤ |G| ∫ G V dx, independently of geometry of a given graph. Applications and generalizations of this result are also discussed.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2016
ISSN: 0002-9939,1088-6826
DOI: 10.1090/proc/13403