PATHWISE UNIQUENESS OF STOCHASTIC DIFFERENTIAL EQUATIONS DRIVEN BY CAUCHY PROCESSES WITH DRIFT

Autor: Tsukada, Hiroshi
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Osaka Journal of Mathematics. 58(3):671-684
ISSN: 0030-6126
Popis: We consider one-dimensional stochastic differential equations driven by Cauchy processes with drift. This driving process is also known as a strictly 1-stable process. In this paper, we study the pathwise uniqueness of the solution to the stochastic differential equations under a non-Lipschitz condition on the diffusion coefficient.
Databáze: OpenAIRE