Gradient estimates for the fundamental solution of Lévy type operator
From MaRDI portal
Publication:1987053
DOI10.1515/anona-2020-0062zbMath1434.60207OpenAlexW3010850908MaRDI QIDQ1987053
Wei Liu, Longjie Xie, Renming Song
Publication date: 9 April 2020
Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/anona-2020-0062
Probabilistic potential theory (60J45) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Transition functions, generators and resolvents (60J35) Jump processes on general state spaces (60J76)
Related Items (3)
Heat kernels for time-dependent non-symmetric mixed Lévy-type operators ⋮ Classical solutions of the equation of local fluctuations of Riesz gravitational fields and their properties ⋮ Heat kernel of supercritical nonlocal operators with unbounded drifts
Cites Work
- Heat kernels and analyticity of non-symmetric jump diffusion semigroups
- Strong uniqueness for stochastic evolution equations in Hilbert spaces perturbed by a bounded measurable drift
- Stable process with singular drift
- Structural properties of semilinear SPDEs driven by cylindrical stable processes
- 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
- Heat kernels of non-symmetric jump processes: beyond the stable case
- Heat kernel estimates for an operator with a singular drift and isoperimetric inequalities
- On weak uniqueness and distributional properties of a solution to an SDE with \(\alpha\)-stable noise
- Gradient estimates of Dirichlet heat semigroups and application to isoperimetric inequalities.
- Coupling property and gradient estimates of Lévy processes via the symbol
- Heat kernel for fractional diffusion operators with perturbations
- Heat kernels of non-symmetric Lévy-type operators
- Heat kernel of anisotropic nonlocal operators
- Singular SDEs with critical non-local and non-symmetric Lévy type generator
- Estimates of heat kernel of fractional Laplacian perturbed by gradient operators
- Global heat kernel estimates for symmetric jump processes
- Gradient estimates of harmonic functions and transition densities for Lévy processes
- Optimal gradient estimates of heat kernels of stable-like operators
This page was built for publication: Gradient estimates for the fundamental solution of Lévy type operator
