5 citations · 9 across the 6 of their papers we have counts for
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Stability of propagation features under time-asymptotic approximations for a class of dispersive equations
Florent Dewez
We consider solutions in frequency bands of dispersive equations on the line defined by Fourier multipliers, these solutions being considered as wave packets. In this paper, a refi…
Time-asymptotic propagation of approximate solutions of Schrödinger equations with both potential and initial condition in Fourier-frequency bands
Florent Dewez
In this paper, we consider the Schrödinger equation in one space-dimension with potential and we aim at exhibiting dynamic interaction phenomena produced by the potential. To this…
Estimates of oscillatory integrals with stationary phase and singular amplitude: Applications to propagation features for dispersive equations
Florent Dewez
In this paper, we study time-asymptotic propagation phenomena for a class of dispersive equations on the line by exploiting precise estimates of oscillatory integrals. We propose f…
Lossless error estimates for the stationary phase method with applications to propagation features for the Schrödinger equation
F. Ali Mehmeti, F. Dewez
We consider a version of the stationary phase method in one dimension of A. Erdélyi, allowing the phase to have stationary points of non-integer order and the amplitude to have int…
Asymptotic estimates of oscillatory integrals with general phase and singular amplitude: Applications to dispersive equations
Florent Dewez
In this paper, we furnish van der Corput types estimates for oscillatory integrals with respect to a large parameter, where the phase is allowed to have a stationary point of real…