Weak well-posedness for a class of degenerate Lévy-driven SDEs with Hölder continuous coefficients
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Publication:6170362
DOI10.1016/j.spa.2023.04.012arXiv2107.04325OpenAlexW4366393627MaRDI QIDQ6170362
Stéphane Menozzi, Lorenzo Marino
Publication date: 12 July 2023
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.04325
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Degenerate parabolic equations (35K65) Ordinary differential equations and systems with randomness (34F05) Integro-partial differential equations (35R09)
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Cites Work
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- Rough paths and 1d SDE with a time dependent distributional drift: application to polymers
- On the coupling property and the Liouville theorem for Ornstein-Uhlenbeck processes
- Densities for SDEs driven by degenerate \(\alpha\)-stable processes
- The transition point in the zero noise limit for a 1D Peano example
- A parametrix approach for some degenerate stable driven SDEs
- Strong existence and uniqueness for degenerate SDE with Hölder drift
- Random perturbation of PDEs and fluid dynamic models. École d'Été de Probabilités de Saint-Flour XL -- 2010
- Parametrix techniques and martingale problems for some degenerate Kolmogorov equations
- Martingale problems for some degenerate Kolmogorov equations
- Relativistic Schrödinger operators: Asymptotic behavior of the eigenfunctions
- Schauder estimates for nonlocal kinetic equations and applications
- Schauder estimates for degenerate stable Kolmogorov equations
- Systems of equations driven by stable processes
- Mathematical methods for financial markets.
- On layered stable processes
- Tempering stable processes
- Boundary behavior of harmonic functions for truncated stable processes
- Weighted Poincaré inequality and heat kernel estimates for finite range jump processes
- Estimates of tempered stable densities
- Density estimates for a random noise propagating through a chain of differential equations
- Smooth densities for solutions to stochastic differential equations with jumps
- Régularité de processus du sauts dégénérés
- Régularité de processus de sauts dégénérés. II. (Regularity of degenerate jump processes. II)
- Non-equilibrium statistical mechanics of anharmonic chains coupled to two heat baths at different temperatures
- Some SDEs with distributional drift. I: General calculus
- \(L^p\) estimates for degenerate non-local Kolmogorov operators
- Multidimensional SDEs with singular drift and universal construction of the polymer measure with white noise potential
- Weak regularization by stochastic drift: result and counter example
- Strong solutions of stochastic equations with singular time dependent drift
- Stochastic Hamiltonian flows with singular coefficients
- Perturbation of drift-type for Levy processes
- Coupling property and gradient estimates of Lévy processes via the symbol
- Multidimensional SDE with distributional drift and Lévy noise
- Strong existence and uniqueness for stable stochastic differential equations with distributional drift
- Density and gradient estimates for non degenerate Brownian SDEs with unbounded measurable drift
- Well-posedness of some non-linear stable driven SDEs
- On the Cauchy problem for integro-differential operators in Hölder classes and the uniqueness of the martingale problem
- Schauder estimates for drifted fractional operators in the supercritical case
- Existence and uniqueness of martingale solutions for SDEs with rough or degenerate coefficients
- On weak uniqueness for some diffusions with discontinuous coefficients
- On weak uniqueness for some degenerate SDEs by global \(L^p\) estimates
- Hypoelliptic second order differential equations
- Curvature and the eigenvalues of the Laplacian
- On diffusion processes with drift in \(L_d\)
- Schauder estimates for degenerate Lévy Ornstein-Uhlenbeck operators
- Non-Gaussian Ornstein–Uhlenbeck-based Models and Some of Their Uses in Financial Economics
- Several Notes on Existence Theorem of Peano
- Equivalence of Stochastic Equations and Martingale Problems
- Bessel potentials, hitting distributions and Green functions
- Asymptotic estimates of multi-dimensional stable densities and their applications
- Existence and Uniqueness of Solutions to Fokker–Planck Type Equations with Irregular Coefficients
- Elliptic and Parabolic Second-Order PDEs with Growing Coefficients
- Densities for Ornstein-Uhlenbeck processes with jumps
- ON STRONG SOLUTIONS AND EXPLICIT FORMULAS FOR SOLUTIONS OF STOCHASTIC INTEGRAL EQUATIONS
- Small random perturbations of peano phenomena
- [https://portal.mardi4nfdi.de/wiki/Publication:4043914 Diffusion processes associated with L�vy generators]
- Symmetric Stable Laws and Stable-Like Jump-Diffusions
- On weak solutions of SDEs with singular time-dependent drift and driven by stable processes
- Stochastic Flows and Jump-Diffusions
- Weak uniqueness for SDEs driven by supercritical stable processes with Hölder drifts
- Regularization effects of a noise propagating through a chain of differential equations: an almost sharp result
- Weak well-posedness of multidimensional stable driven SDEs in the critical case
- Multidimensional stochastic differential equations with distributional drift
- Stochastic Processes
- Stochastic differential equations for Dirichlet processes
- Lévy-driven CARMA processes
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