45 pagesInternational audienceWe consider a stable driven degenerate stochastic differential equation, whose coefficients satisfy a kind of weak Hörmander condition. Under mild smoothness assumptions we prove the uniqueness of the martingale problem for the associated generator under some dimension constraints. Also, when the driving noise is scalar and tempered, we establish density bounds reflecting the multi-scale behavior of the process
International audienceWe establish weak well-posedness for critical symmetric stable driven SDEs in ...
We establish well-posedness results for multidimensional non degenerate α-stable driven SDEs with ti...
We establish strong uniqueness for a class of degenerate SDEs of weak Hörmander type under suitable ...
45 pagesInternational audienceWe consider a stable driven degenerate stochastic differential equatio...
We consider a stable driven degenerate stochastic differential equation, whose coefficients satisfy ...
International audienceIn this paper, we prove pathwise uniqueness for stochastic degenerate systems ...
Abstract. In this paper, we prove pathwise uniqueness for stochastic degenerate systems with a Höld...
Abstract. We obtain Calderón-Zygmund estimates for some degenerate equa-tions of Kolmogorov type wi...
Uniqueness of the martingale problem corresponding to a degenerate SDE which models catalytic branch...
44 pagesInternational audienceWe obtain Calderón-Zygmund estimates for some degenerate equations of ...
International audienceConsider a multidimensional stochastic differential equation driven by a stabl...
We consider diffusions corresponding to the generator for continuous with y<sub>i</sub> nonnegative....
The existence-uniqueness and stability of strong solutions are proved for a class of degenerate stoc...
Abstract. We consider non-degenerate SDEs with a β-Hölder continuous and bounded drift term and dri...
We study the Cauchy problem for a scalar semilinear degenerate parabolic par-tial differential equat...
International audienceWe establish weak well-posedness for critical symmetric stable driven SDEs in ...
We establish well-posedness results for multidimensional non degenerate α-stable driven SDEs with ti...
We establish strong uniqueness for a class of degenerate SDEs of weak Hörmander type under suitable ...
45 pagesInternational audienceWe consider a stable driven degenerate stochastic differential equatio...
We consider a stable driven degenerate stochastic differential equation, whose coefficients satisfy ...
International audienceIn this paper, we prove pathwise uniqueness for stochastic degenerate systems ...
Abstract. In this paper, we prove pathwise uniqueness for stochastic degenerate systems with a Höld...
Abstract. We obtain Calderón-Zygmund estimates for some degenerate equa-tions of Kolmogorov type wi...
Uniqueness of the martingale problem corresponding to a degenerate SDE which models catalytic branch...
44 pagesInternational audienceWe obtain Calderón-Zygmund estimates for some degenerate equations of ...
International audienceConsider a multidimensional stochastic differential equation driven by a stabl...
We consider diffusions corresponding to the generator for continuous with y<sub>i</sub> nonnegative....
The existence-uniqueness and stability of strong solutions are proved for a class of degenerate stoc...
Abstract. We consider non-degenerate SDEs with a β-Hölder continuous and bounded drift term and dri...
We study the Cauchy problem for a scalar semilinear degenerate parabolic par-tial differential equat...
International audienceWe establish weak well-posedness for critical symmetric stable driven SDEs in ...
We establish well-posedness results for multidimensional non degenerate α-stable driven SDEs with ti...
We establish strong uniqueness for a class of degenerate SDEs of weak Hörmander type under suitable ...