抄録
The main purpose of this paper is to establish the parabolic Harnack inequality for the transition semigroup associated with the time dependent Ginzburg-Landau type stochastic partial differential equation (=SPDE, in abbreviation). In view of quantum field theory, this dynamics is called a P(φ)1-time evolution. We prove the main result by adopting a stochastic approach which is different from Bakry-Emery's Γ2- method. As an application of our result, we study some estimates on the transition probability for our dynamics. We also discuss the Varadhan type asymptotics.
本文言語 | English |
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ページ(範囲) | 61-84 |
ページ数 | 24 |
ジャーナル | Potential Analysis |
巻 | 22 |
号 | 1 |
DOI | |
出版ステータス | Published - 2005 2月 |
外部発表 | はい |
ASJC Scopus subject areas
- 分析