Heat kernel of supercritical nonlocal operators with unbounded drifts
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Publication:2118001
DOI10.5802/jep.189zbMath1485.35256OpenAlexW4214912224MaRDI QIDQ2118001
Stéphane Menozzi, Xicheng Zhang
Publication date: 22 March 2022
Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.5802/jep.189
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) PDEs with randomness, stochastic partial differential equations (35R60) Stable stochastic processes (60G52) Heat kernel (35K08)
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Cites Work
- Unnamed Item
- Unnamed Item
- Heat kernels and analyticity of non-symmetric jump diffusion semigroups
- Gradient estimates for SDEs driven by multiplicative Lévy noise
- Explicit parametrix and local limit theorems for some degenerate diffusion processes
- Systems of equations driven by stable processes
- Density estimates for a random noise propagating through a chain of differential equations
- Asymptotic formulas for symmetric stable semigroups
- Heat kernels for time-dependent non-symmetric stable-like operators
- Parametrix construction of the transition probability density of the solution to an SDE driven by \(\alpha\)-stable noise
- On weak uniqueness and distributional properties of a solution to an SDE with \(\alpha\)-stable noise
- Perturbation of drift-type for Levy processes
- Existence of densities for stable-like driven SDEs with Hölder continuous coefficients
- Gradient estimates for the fundamental solution of Lévy type operator
- Hölder regularity and gradient estimates for SDEs driven by cylindrical \(\alpha \)-stable processes
- Strong Feller property for SDEs driven by multiplicative cylindrical stable noise
- Interior Schauder estimates for elliptic equations associated with Lévy operators
- Density and gradient estimates for non degenerate Brownian SDEs with unbounded measurable drift
- Semigroup properties of solutions of SDEs driven by Lévy processes with independent coordinates
- 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
- Heat kernels for non-symmetric diffusion operators with jumps
- Estimates of heat kernel of fractional Laplacian perturbed by gradient operators
- Curvature and the eigenvalues of the Laplacian
- Lévy matters III. Lévy-type processes: construction, approximation and sample path properties
- Vorticity and Incompressible Flow
- Asymptotic estimates of multi-dimensional stable densities and their applications
- Symmetric Stable Laws and Stable-Like Jump-Diffusions
- PARABOLIC PSEUDODIFFERENTIAL EQUATIONS, HYPERSINGULAR INTEGRALS, AND MARKOV PROCESSES
- Construction and heat kernel estimates of generalstable-like Markov processes
- Supercritical SDEs driven by multiplicative stable-like Lévy processes
- Optimal gradient estimates of heat kernels of stable-like operators
- Stochastic Processes
