59 citations · 398 across the 59 of their papers we have counts for
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Gabor analysis for Schrodinger equations and propagation of singularities
Elena Cordero, Fabio Nicola, Luigi Rodino
We consider the Schrödinger equation \begin{equation*} i \displaystyle\frac{\partial u}{\partial t} +Hu=0,\quad H=a(x,D), \end{equation*} where the Hamiltonian , , i…
On the Invertibility of Born-Jordan Quantization
Elena Cordero, Maurice de Gosson, Fabio Nicola
As a consequence of the Schwartz kernel Theorem, any linear continuous operator can…
On the time slicing approximation of Feynman path integrals for non-smooth potentials
Fabio Nicola
We consider the time slicing approximations of Feynman path integrals, constructed via piecewice classical paths. A detailed study of the convergence in the norm operator topology,…
Pointwise decay and smoothness for semilinear elliptic equations and travelling waves
Marco Cappiello, Fabio Nicola
We derive sharp decay estimates and prove holomorphic extensions for the solutions of a class of semilinear nonlocal elliptic equations with linear part given by a sum of Fourier m…
Sharp decay estimates and smoothness for solutions to nonlocal semilinear equations
Marco Cappiello, Fabio Nicola
We consider semilinear equations of the form p(D)u=F(u), with a locally bounded nonlinearity F(u), and a linear part p(D) given by a Fourier multiplier. The multiplier p(ξ) is the…
Gabor Frames of Gaussian Beams for the Schrödinger equation
Michele Berra, Martina Bulai, Elena Cordero +1
The present paper is devoted to the semiclassical analysis of linear Schrödinger equations from a Gabor frame perspective. We consider (time-dependent) smooth Hamiltonians with at…