Distribution Dependent SDEs with H\'{o}lder Continuous Drift and $\alpha$-Stable Noise

Autor: Huang, Xing, Yang, Fen-Fen
Rok vydání: 2019
Předmět:
Druh dokumentu: Working Paper
Popis: In this paper, the existence and uniqueness of the distribution dependent SDEs with H\"{o}lder continuous drift driven by $\alpha$-stable process is investigated. Moreover, by using Zvonkin type transformation, the convergence rate of Euler-Maruyama method is also obtained. The results cover the ones in the case of distribution independent SDEs.
Comment: 19 pages
Databáze: arXiv