Hypoellipticity and parabolic hypoellipticity of nonlocal operators under Hörmander's condition
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Publication:6072414
DOI10.1007/s11118-022-09997-6OpenAlexW4223467064MaRDI QIDQ6072414
Publication date: 13 October 2023
Published in: Potential Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11118-022-09997-6
stochastic differential equationsgradientDirichlet formhypoellipticitycarré du champHörmander's conditionPoisson functionalmultiplicative Lévy noisesparabolic hypoellipticity
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic calculus of variations and the Malliavin calculus (60H07)
Cites Work
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- Analysis of nondegenerate Wiener-Poisson functionals and its applications to Itō's SDE with jumps
- Nondegenerate SDEs with jumps and their hypoelliptic properties
- Densities for SDEs driven by degenerate \(\alpha\)-stable processes
- Application of the lent particle method to Poisson-driven SDEs
- Dirichlet forms and analysis on Wiener space
- Regularity of the law of stochastic differential equations with jumps under Hörmander's conditions: the lent particle method
- The Malliavin calculus for SDE with jumps and the partially hypoelliptic problem
- On the existence of smooth densities for jump processes
- Iteration of the lent particle method for existence of smooth densities of Poisson functionals
- Fundamental solutions of nonlocal Hörmander's operators. II.
- Energy image density property and the lent particle method for Poisson measures
- Fundamental solutions of nonlocal Hörmander's operators
- Dirichlet Forms Methods for Poisson Point Measures and Lévy Processes
- Calcul des variations stochastique et processus de sauts
- A pointwise equivalence of gradients on configuration spaces
- Equivalence of gradients on configuration spaces
- Stochastic calculus of variations for jump processes
