An Integrated Version of Varadhan’s Asymptotics for Lower-Order Perturbations of Strong Local Dirichlet FormsReport as inadecuate




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Potential Analysis

pp 1–44

First Online: 22 June 2017Received: 30 March 2017Accepted: 09 June 2017DOI: 10.1007-s11118-017-9634-x

Cite this article as: Hino, M. & Matsuura, K. Potential Anal 2017. doi:10.1007-s11118-017-9634-x

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.

KeywordsVaradhan’s asymptotics Short-time behavior Dirichlet form Intrinsic distance Dedicated to Professor Masayoshi Takeda on the occasion of his 60th birthday

Mathematics Subject Classification 201031C25 60J60 58J37 47D07 Download to read the full article text



Author: Masanori Hino - Kouhei Matsuura

Source: https://link.springer.com/







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