Strong solutions to stochastic equations with Lévy noise and a discontinuous drift coefficient
type: Item
instance of: scholarly article
title: Strong solutions to stochastic equations with Lévy noise and a discontinuous drift coefficient
zbMATH Open document ID: 1327.60115
DOI: 10.1134/S1064562415040213
published in: Doklady Mathematics
publication date: 2015-11-12T00:00:00Z
Mathematics Subject Classification ID: 60H10
Mathematics Subject Classification ID: 60G51
Mathematics Subject Classification ID: 60G52
zbMATH DE Number: 6507782
zbMATH Keywords: stochastic differential equation
zbMATH Keywords: Lévy noise
zbMATH Keywords: symmetric \(\alpha\)-stable process
zbMATH Keywords: strong solutions
author: Vladimir I. Bogachev
author: Andrey Yu. Pilipenko
MaRDI profile type: Publication
cites work: Q4937701
cites work: A TRANSFORMATION OF THE PHASE SPACE OF A DIFFUSION PROCESS THAT REMOVES THE DRIFT
cites work: On the Strong Solutions of Stochastic Differential Equations
cites work: Pathwise uniqueness for singular SDEs driven by stable processes
cites work: On the construction and Malliavin differentiability of solutions of Lévy noise driven SDE's with singular coefficients
cites work: Perturbation of drift-type for Levy processes
cites work: Estimates of heat kernel of fractional Laplacian perturbed by gradient operators
cites work: Q5342183
cites work: Q3999945
cites work: Q3415147
cites work: On the Uniqueness in Law and the Pathwise Uniqueness for Stochastic Differential Equations
cites work: Q5342181
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description: scientific article; zbMATH DE number 6507782