59 citations · 398 across the 59 of their papers we have counts for
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Sharp estimates for Schrödinger groups
Piero D'Ancona, Fabio Nicola
Consider a non-negative self-adjoint operator in . We suppose that its heat operator satisfies an off-diagonal algebraic decay estimate, for some e…
Propagation of singularities for semilinear Schrödinger equations
Fabio Nicola, Luigi Rodino
We study the propagation of singularities for semilinear Schrodinger equations with quadratic Hamiltonians, in particular for the semilinear harmonic oscillator. We show that the p…
Gabor wave packets and evolution operators
Elena Cordero, Fabio Nicola, Luigi Rodino
We perform a Gabor analysis for a large class of evolution equations with constant coefficients. We show that the corresponding propagators have a very sparse Gabor matrix, display…
Integral Representations for the Class of Generalized Metaplectic Operators
E. Cordero, F. Nicola, L. Rodino
This article gives explicit integral formulas for the so-called generalized metaplectic operators, i.e. Fourier integral operators (FIOs) of Schrödinger type, having a symplectic m…
On the Schrödinger equation with potential in modulation spaces
Elena Cordero, Fabio Nicola
This work deals with Schrödinger equations with quadratic and sub-quadratic Hamiltonians perturbed by a potential. In particular we shall focus on bounded, but not necessarily smoo…
Some remarks on the radius of spatial analyticity for the Euler equations
Marco Cappiello, Fabio Nicola
We consider the Euler equations on with analytic data and prove lower bounds for the radius of spatial analyticity of the solution using a new method based on…