The parabolic Anderson model on Riemann surfaces
成果类型：
Article
署名作者：
Dahlqvist, Antoine; Diehl, Joscha; Driver, Bruce K.
署名单位：
University College Dublin; Max Planck Society; University of California System; University of California San Diego
刊物名称：
PROBABILITY THEORY AND RELATED FIELDS
ISSN/ISSBN：
0178-8051
DOI：
10.1007/s00440-018-0857-6
发表日期：
2019
页码：
369-444
关键词：
摘要：
We show well-posedness for the parabolic Anderson model on 2-dimensional closed Riemannian manifolds. To this end we extend the notion of regularity structures to curved space, and explicitly construct the minimal structure required for this equation. A central ingredient is the appropriate re-interpretation of the polynomial model, which we build up to any order.
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