59 citations · 398 across the 59 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…
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…
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…
Phase space analysis of semilinear parabolic equations
Fabio Nicola
We present a wave packet analysis of a class of possibly degenerate parabolic equations with variable coefficients. As a consequence, we prove local wellposedness of the correspond…
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…