An Integrated Version of Varadhan's Asymptotics for Lower-Order Perturbations of Strong Local Dirichlet Forms

作者：Hino Masanori^*; Matsuura Kouhei

来源：Potential Analysis, 2018, 48(3): 257-300.

DOI：10.1007/s11118-017-9634-x

• Varadhan's asymptotics
• Short-time behavior
• Dirichlet form
• Intrinsic distance

The studies of J. A. Ramirez, Hino-Ramirez, 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.

• 出版日期2018-4