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7 papers · 1 filter
Regularity theory for the dissipative solutions of the MHD equations
Diego Chamorro, Jiao He
We study here a new generalization of Caffarelli, Kohn and Nirenberg's partial regularity theory for weak solutions of the MHD equations. Indeed, in this framework some hypotheses…
Density and gradient estimates for non degenerate Brownian SDEs with unbounded measurable drift
S. Menozzi, A. Pesce, X. Zhang
We consider non degenerate Brownian SDEs with H{ö}lder continuous in space diffusion coefficient and unbounded drift with linear growth. We derive two sided bounds for the associat…
On the partial regularity theory for the MHD equations
Diego Chamorro, Jiao He
We generalize here the celebrated Partial Regularity Theory of Caffarelli, Kohn and Nirenberg to the MHD equations in the framework of parabolic Morrey spaces. This type of parabol…
Adaptive and non-adaptive estimation for degenerate diffusion processes
Arnaud Gloter, Nakahiro Yoshida
We discuss parametric estimation of a degenerate diffusion system from time-discrete observations. The first component of the degenerate diffusion system has a parameter in a…
Rate of Estimation for the Stationary Distribution of Stochastic Damping Hamiltonian Systems with Continuous Observations
Sylvain Delattre, Arnaud Gloter, Nakahiro Yoshida
We study the problem of the non-parametric estimation for the density of the stationary distribution of a stochastic two-dimensional damping Hamiltonian system $(Z_t)_{t\in[0,T…
Invariant density adaptive estimation for ergodic jump diffusion processes over anisotropic classes
Chiara Amorino, Arnaud Gloter
We consider the solution X = (Xt) t0 of a multivariate stochastic differential equation with Levy-type jumps and with unique invariant probability measure with density . We…