59 citations · 159 across the 37 of their papers we have counts for
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Schrödinger equations with rough Hamiltonians
Elena Cordero, Fabio Nicola, Luigi Rodino
We consider a class of linear Schrödinger equations in R^d with rough Hamiltonian, namely with certain derivatives in the Sjöstrand class . We prove that the correspo…
Wave packet analysis of Schrodinger equations in analytic function spaces
Elena Cordero, Fabio Nicola, Luigi Rodino
We consider a class of linear Schroedinger equations in R^d, with analytic symbols. We prove a global-in-time integral representation for the corresponding propagator as a generali…
Propagation of the Gabor Wave Front Set for Schrödinger Equations with non-smooth potentials
Elena Cordero, Fabio Nicola, Luigi Rodino
We consider Scrödinger equations with real-valued smooth Hamiltonians, and non-smooth bounded pseudo-differential potentials, whose symbols may be not even differentiable. The well…
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…
Generalized Metaplectic Operators and the Schrödinger Equation with a Potential in the Sjöstrand Class
Elena Cordero, Karlheinz Gröchenig, Fabio Nicola +1
It is well known that the matrix of a metaplectic operator with respect to phase-space shifts is concentrated along the graph of a linear symplectic map. We show that the algebra g…