3 papers
math.AP2020
Hypoelliptic estimates for linear transport operators
Paul Alphonse
We aim at understanding how the non-commutation phenomena between a linear transport operator and a fractional diffusion allow the transport operator to satisfy hypoelliptic estima…
math.AP2019
Quadratic differential equations : partial Gelfand-Shilov smoothing effect and null-controllability
Paul Alphonse
We study the partial Gelfand-Shilov regularizing effect and the exponential decay for the solutions to evolution equations associated to a class of accretive non-selfadjoint quadra…
math.AP2018
Smoothing Properties of Fractional Ornstein-Uhlenbeck Semigroups and Null-Controllability
Paul Alphonse, Joackim Bernier
We study fractional hypoelliptic Ornstein-Uhlenbeck operators acting on satisfying the Kalman rank condition. We prove that the semigroups generated by these op…