Interaction between a drift and a fractional power of a Laplacian in semi-group theory

2nd International Conference on Mathematical Modeling in Physical Sciences 2013

物理学;数学

Léandre, Rémi^1

Laboratoire de Mathématiques, Université de Franche-Comté, Route de Gray, 25030 Besançon, France^1

关键词: A-Laplacian;    Fractional power;    Laplacians;    Malliavin calculus;    Semi-group;    Semi-group theory;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/490/1/012042/pdf
DOI  :  10.1088/1742-6596/490/1/012042

来源: IOP

【 摘 要 】

We give an interaction between a drift and a fractional power of a degenerated Laplacian such that the involved semi-group has a density by using the Malliavin Calculus for boundary processes translated by ourself in semi-group theory in [1].