3 papers
math.DS2019
Uniform convergence in von Neumann's ergodic theorem in the absence of a spectral gap
Jonathan Ben-Artzi, Baptiste Morisse
Von Neumann's original proof of the ergodic theorem is revisited. A uniform convergence rate is established under the assumption that one can control the density of the spectrum of…
math.AP2018
On hyperbolicity and Gevrey well-posedness. Part three: a class of weakly hyperbolic systems
Baptiste Morisse
We consider a class of weakly hyperbolic systems of first-order, nonlinear PDEs. Weak hyperbolicity means here that the principal symbol of the system has a crossing of eigenvalues…
math.AP2017
On the action of pseudo-differential operators on Gevrey spaces
Baptiste Morisse
In this paper we study the action of pseudo-differential operators acting on Gevrey spaces. We introduce classes of classical symbols with spatial Gevrey regularity. As the spatial…