Exponential decay for the Schrödinger equation on a dissipative waveguide

In this article we have proved that the solution of the linear transport equation converges in the long time limit to its global equilibrium state at an exponential rate if and only

We complete the result in [2] by showing the exponential decay of the perturbation of the laminar solution below the critical Rayleigh number and of the convective solution above

The second is the case of age structured equations which is very particular and more classical because it corresponds to usual modelling; it corresponds to the formal limit σ → 0 in

Colin, On the local well-posedness of quasilinear Schr¨ odinger equation in arbitrary space dimension, Comm. Colin, On a quasilinear Zakharov system describing laser-

We demonstrate how to set up a scattering framework for equations of this type, including appropriate decay estimates of the free time evolution and the construction of wave

Yin, Global existence and blow-up phenomena for a weakly dissipative Degasperis–Procesi equation, Discrete

Pour contrˆ oler le terme nonlin´ eaire, on utilise les deux outils. In´ egalit´ es

R´ esum´ e - Nous continuons l’´etude du probl`eme de Cauchy et aux limites pour l’´equation de Korteweg-de Vries initi´ee dans [9].. On obtient des effets r´egularisants