Stochastic flows of SDEs with irregular coefficients and stochastic transport equations
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Publication:977446
DOI10.1016/j.bulsci.2009.12.004zbMath1197.60057arXiv0907.4866OpenAlexW2057495180MaRDI QIDQ977446
Publication date: 22 June 2010
Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0907.4866
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Cites Work
- Unnamed Item
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- Transport equation and Cauchy problem for BV vector fields
- Well-posedness of the transport equation by stochastic perturbation
- Global flows for stochastic differential equations without global Lipschitz conditions
- Ordinary differential equations, transport theory and Sobolev spaces
- Strong solutions of stochastic equations with singular time dependent drift
- Modulus of continuity of the canonic Brownian motion ``on the group of diffeomorphisms of the circle
- Integration of Brownian vector fields.
- Existence and uniqueness of martingale solutions for SDEs with rough or degenerate coefficients
- Isotropic stochastic flow of homeomorphisms on \(S^{d}\) for the critical Sobolev exponent
- Renormalized solutions of some transport equations with partially \(W^{1,1}\) velocities and applications
- Lipschitz regularity and approximate differentiability of the DiPerna-Lions flow
- Strong solutions of SDEs with singular drift and Sobolev diffusion coefficients
- A study of a class of stochastic differential equations with non-Lipschitzian coefficients
- Stochastic flows and Bismut formulas for stochastic Hamiltonian systems
- On Stochastic Differential Equations with Locally Unbounded Drift
- Estimates and regularity results for the DiPerna-Lions flow
- Existence and Uniqueness of Solutions to Fokker–Planck Type Equations with Irregular Coefficients
- The canonic diffusion above the diffeomorphism group of the circle
- Flow of Homeomorphisms and Stochastic Transport Equations
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