6 citations · 16 across the 8 of their papers we have counts for
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Explicit error estimates for the stationary phase method II: Interaction of amplitude singularities with stationary points
F. Ali Mehmeti, F. Dewez
In this paper, we improve slightly Erdélyi's version of the stationary phase method by replacing the employed smooth cut-off function by a characteristic function, leading to more…
Explicit error estimates for the stationary phase method I: The influence of amplitude singularities
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…
Dispersive effects and high frequency behaviour for the Schrödinger equation in star-shaped networks
Felix Ali Mehmeti, Kaïs Ammari, Serge Nicaise
We prove the time decay estimates where is an infinite star-shaped network, for the Schrödinger group $e^{it(- \frac{d^2…
Energy flow above the threshold of tunnel effect
Felix Ali Mehmeti, Robert Haller-Dintelmann, Virginie Régnier
We consider the Klein-Gordon equation on two half-axes connected at their origins. We add a potential that is constant but different on each branch. In a previous paper, we studied…
The Influence of the Tunnel Effect on L-infinity-time decay
Felix Ali Mehmeti, Robert Haller-Dintelmann, Virginie Régnier
We consider the Klein-Gordon equation on a star-shaped network composed of n half-axes connected at their origins. We add a potential which is constant but different on each branch…
Multiple tunnel effect for dispersive waves on a star-shaped network: an explicit formula for the spectral representation
Felix Ali Mehmeti, Robert Haller-Dintelmann, Virginie Régnier
We consider the Klein-Gordon equation on a star-shaped network composed of n half-axes connected at their origins. We add a potential which is constant but different on each branch…
Global existence and causality for a transmission problem with a repulsive nonlinearity
F. Ali Mehmeti, V. Regnier
It is well-known that the solution of the classical linear wave equation with compactly supported initial condition and vanishing initial velocity is also compactly supported in a…