10 citations · 30 across the 31 of their papers we have counts for
4 papers · 1 filter
Weighted energy estimates for -evolution equations
Alessia Ascanelli, Marco Cappiello
We prove energy estimates for linear -evolution equations in weighted Sobolev spaces under suitable assumptions on the behavior at infinity of the coefficients with respect to t…
Microlocal analysis of quasianalytic Gelfand-Shilov type ultradistributions
Marco Cappiello, René Schulz
We introduce a global wave front set suitable for the analysis of tempered ultradistributions of quasianalytic Gelfand-Shilov type. We study the transformation properties of the wa…
On the radius of spatial analyticity for semilinear symmetric hyperbolic systems
Marco Cappiello, Piero D'Ancona, Fabio Nicola
We study the problem of propagation of analytic regularity for semi-linear symmetric hyperbolic systems. We adopt a global perspective and we prove that if the initial datum extend…
On the inverse to the harmonic oscillator
Marco Cappiello, Luigi Rodino, Joachim Toft
Let be the Weyl symbol of the inverse to the harmonic oscillator on . We prove that and its derivatives satisfy convenient bounds of Gevrey and Gelfand-Shilov typ…