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Existence and uniqueness of solutions of SDEs with discontinuous drift and finite activity jumps

Paweł Przybyłowicz, Michaela Szölgyenyi, Fanhui Xu

2021Statistics & Probability Letters13 citationsDOIOpen Access PDF

Abstract

In this letter we prove existence and uniqueness of strong solutions to multi-dimensional SDEs with discontinuous drift and finite activity jumps.

Topics & Concepts

UniquenessMathematicsApplied mathematicsJumpMathematical analysisPhysicsQuantum mechanicsNonlinear Differential Equations AnalysisAdvanced Mathematical Modeling in EngineeringStability and Controllability of Differential Equations
Existence and uniqueness of solutions of SDEs with discontinuous drift and finite activity jumps | Litcius