The Parametrix Method For Skew Diffusions
Keywords
Density estimates; Parametrix method; Skew Brownian motion
Abstract
In this article, we apply the parametrix method in order to obtain the existence and the regularity properties of the density of a skew diffusion and provide a Gaussian upper bound. This expansion leads to a probabilistic representation.
Publication Date
8-1-2016
Publication Title
Potential Analysis
Volume
45
Issue
2
Number of Pages
299-329
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.1007/s11118-016-9547-0
Copyright Status
Unknown
Socpus ID
84960362697 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/84960362697
STARS Citation
Kohatsu-Higa, Arturo; Taguchi, Dai; and Zhong, Jie, "The Parametrix Method For Skew Diffusions" (2016). Scopus Export 2015-2019. 3078.
https://stars.library.ucf.edu/scopus2015/3078