Heat kernels of metric trees and applications (Q2843443)

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scientific article; zbMATH DE number 6200924
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English
Heat kernels of metric trees and applications
scientific article; zbMATH DE number 6200924

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    22 August 2013
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    heat kernel
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    metric tree
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    eigenvalue estimate
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    Sobolev inequality
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    Heat kernels of metric trees and applications (English)
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    The authors consider the heat semigroup generated by the Laplace operator on the metric trees and show how the behavior of the associated heat kernel depends on the geometry of the tree. New eigenvalue estimates for the Shrödinger operator on metric trees are obtained.
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