Rough differential equations with unbounded drift term

DOI10.1016/j.jde.2016.09.021zbMath1357.34096arXiv1605.05604OpenAlexW2963641841MaRDI QIDQ338448

Sebastian Riedel, Michael K. R. Scheutzow

Publication date: 4 November 2016

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.05604

zbMATH Keywords

rough pathscontrolled ordinary differential equationsexistence of semiflowunbounded drift term

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Ordinary differential equations and systems with randomness (34F05)

Related Items (14)

Distribution dependent SDEs driven by additive continuous noise ⋮ Averaging principle for fast-slow system driven by mixed fractional Brownian rough path ⋮ Strong completeness and semi-flows for stochastic differential equations with monotone drift ⋮ Random dynamical systems, rough paths and rough flows ⋮ Exponential stability of stochastic systems: A pathwise approach ⋮ A priori bounds for rough differential equations with a non-linear damping term ⋮ Numerical Attractors for Rough Differential Equations ⋮ Asymptotic dynamics of Young differential equations ⋮ Random attractors for rough stochastic partial differential equations ⋮ Penalisation techniques for one-dimensional reflected rough differential equations ⋮ Wong-Zakai type approximations of rough random dynamical systems by smooth noise ⋮ Differentiability of SDEs with drifts of super-linear growth ⋮ A dynamical theory for singular stochastic delay differential equations. II: Nonlinear equations and invariant manifolds ⋮ Random attractors for dissipative systems with rough noises

Cites Work

• The Jain-Monrad criterion for rough paths and applications to random Fourier series and non-Markovian Hörmander theory
• Integrability and tail estimates for Gaussian rough differential equations
• Solving the KPZ equation
• A theory of regularity structures
• Lack of strong completeness for stochastic flows
• Differential equations driven by rough paths. Ecole d'Eté de Probabilités de Saint-Flour XXXIV -- 2004. Lectures given at the 34th probability summer school, July 6--24, 2004.
• Flows driven by rough paths
• Flow of diffeomorphisms induced by a geometric multiplicative functional
• Differential equations driven by rough signals
• A concise course on stochastic partial differential equations
• From Rough Path Estimates to Multilevel Monte Carlo
• Global Solutions to Rough Differential Equations with Unbounded Vector Fields
• Multidimensional Stochastic Processes as Rough Paths
• System Control and Rough Paths
• Integrability of (Non-)Linear Rough Differential Equations and Integrals
• A course on rough paths. With an introduction to regularity structures

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