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.
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This study was supported by JSPS KAKENHI Grant Number JP15H03625.
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Dedicated to Professor Masayoshi Takeda on the occasion of his 60th birthday
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Hino, M., Matsuura, K. An Integrated Version of Varadhan’s Asymptotics for Lower-Order Perturbations of Strong Local Dirichlet Forms. Potential Anal 48, 257–300 (2018). https://doi.org/10.1007/s11118-017-9634-x
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DOI: https://doi.org/10.1007/s11118-017-9634-x