Degenerate SDE with Hölder--Dini Drift and Non-Lipschitz Noise Coefficient
DOI10.1137/15M1023671zbMath1342.60093arXiv1504.04450OpenAlexW1920169560MaRDI QIDQ2814477
Publication date: 22 June 2016
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1504.04450
strong solutionsweak solutionsstochastic Hamiltonian systemdegenerate stochastic differential equationsHölder-Dini continuitydiffeomorphism flow
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)
Related Items (30)
Cites Work
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- Strong uniqueness for stochastic evolution equations in Hilbert spaces perturbed by a bounded measurable drift
- Harnack inequalities for stochastic (functional) differential equations with non-Lipschitzian coefficients
- Degenerate Fokker-Planck equations: Bismut formula, gradient estimate and Harnack inequality
- Sobolev differentiable flows of SDEs with local Sobolev and super-linear growth coefficients
- Strong existence and uniqueness for degenerate SDE with Hölder drift
- Parametrix techniques and martingale problems for some degenerate Kolmogorov equations
- Stochastic homeomorphism flows of SDEs with singular drifts and Sobolev diffusion coefficients
- Strong uniqueness for SDEs in Hilbert spaces with nonregular drift
- Stochastic Volterra equations in Banach spaces and stochastic partial differential equation
- Well-posedness of the transport equation by stochastic perturbation
- Gradient estimates and applications for SDEs in Hilbert space with multiplicative noise and Dini continuous drift
- Strong uniqueness for stochastic evolution equations with unbounded measurable drift term
- Pathwise uniqueness for a class of SDE in Hilbert spaces and applications
- Strong solutions of stochastic equations with singular time dependent drift
- Stochastic functional differential equations driven by Lévy processes and quasi-linear partial integro-differential equations
- On weak uniqueness for some degenerate SDEs by global \(L^p\) estimates
- On the uniqueness of solutions of stochastic differential equations. II
- On the uniqueness of solutions of stochastic differential equations
- A study of a class of stochastic differential equations with non-Lipschitzian coefficients
- Stochastic flows and Bismut formulas for stochastic Hamiltonian systems
- Degenerate SDEs in Hilbert spaces with rough drifts
- Pathwise uniqueness and continuous dependence for SDEs with non-regular drift
- Hypocoercivity
- On the Strong Solutions of Stochastic Differential Equations
- A TRANSFORMATION OF THE PHASE SPACE OF A DIFFUSION PROCESS THAT REMOVES THE DRIFT
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