Strong solutions to stochastic equations with a Lévy noise and a non-constant diffusion coefficient


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Resumo

The goal of this study is to prove an existence and uniqueness theorem for the solution of a stochastic differential equation with Lévy noise in the case where the drift coefficient can be discontinuous. Additionally, the differentiability of the solution with respect to the initial condition is proved.

Sobre autores

V. Bogachev

Faculty of Mechanics and Mathematics; St. Tikhon’s Orthodox University; National Research University Higher School of Economics

Autor responsável pela correspondência
Email: vibogach@mail.ru
Rússia, Moscow, 119991; Moscow; Myasnitskaya ul. 20, Moscow, 101000

A. Pilipenko

Institute of Mathematics; National Technical University of Ukraine “KPI,”

Email: vibogach@mail.ru
Ucrânia, Tereshchenkovskaya ul. 3, Kiev, 01601; Kiev

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