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Title: An integrated version of Varadhan's asymptotics for lower-order perturbations of strong local Dirichlet forms
Authors: Hino, Masanori  kyouindb  KAKEN_id
Matsuura, Kouhei
Author's alias: 日野, 正訓
Keywords: Varadhan’s asymptotics
Short-time behavior
Dirichlet form
Intrinsic distance
Issue Date: Apr-2018
Publisher: Springer Nature
Journal title: Potential Analysis
Volume: 48
Issue: 3
Start page: 257
End page: 300
Abstract: The studies of J. A. Ramírez, Hino–Ramírez, and Ariyoshi–Hino showed that an integrated version of Varadhan’s asymptotics holds for Markovian semigroups associated with arbitrary strong local symmetric Dirichlet forms. In this paper, we consider non-symmetric bilinear forms that are the sum of strong local symmetric Dirichlet forms and lower-order perturbed terms. We give sufficient conditions for the associated semigroups to have asymptotics of the same type.
Rights: © The Author(s) 2017. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
URI: http://hdl.handle.net/2433/233919
DOI(Published Version): 10.1007/s11118-017-9634-x
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