Add to ORKG(Communicated by Jerry L. Bona) Abstract. We prove that no finite time blow up can occur for nonlinear Schrödinger equations with quadratic potentials, provided that the potential has a sufficiently strong repulsive component. This is not obvious in general, since the energy as-sociated to the linear equation is not positive. The proof relies essentially on two arguments: global in time Strichartz estimates, and a refined analysis of the linear equation, which makes it possible to control the nonlinear effects
International audienceWe consider a class of the focusing nonlinear Schr\"odinger equation with inve...
In this paper, we show that any solution of the nonlinear Schrödinger equation iut + ∆u ± |u | 4N u...
We study the existence and stability of standing waves for a system of nonlinear Schrödinger equatio...
We prove that no finite time blow up can occur for nonlinear Schrödinger equations with quadratic po...
Abstract. We consider equations of nonlinear Schrödinger type augmented by nonlinear damping terms....
AbstractIn this article we investigate the possibility of finite time blow-up in H1(R2) for solution...
SIAM J. Math. Anal. 35 (2003), no. 4, 823-843We study the Cauchy problem for Schrödinger equations w...
We consider the critical nonlinear Schrödinger equation iut = −∆u − |u | 4N u with initial condition...
In this paper, we consider the nonlinear Schr�odinger equation with the super critical powerof nonli...
In this paper, we consider the nonlinear Schrödinger equation with the super critical power of nonli...
International audienceWe consider the nonlinear Schr\"odinger equation \[ u_t = i \Delta u + | u |^\...
Abstract. We consider solutions u to the 3d nonlinear Schrödinger equation i∂tu+ ∆u + |u|2u = 0. In...
We consider the critical nonlinear Schr¿odinger equation iut = -.u-|u| 4 N u with initial condition ...
International audienceWe revisit the finite time blow-up for the fourth-order Schrödinger equation w...
By introducing a growth condition and using an iterative technique, we establish the results for the...
International audienceWe consider a class of the focusing nonlinear Schr\"odinger equation with inve...
In this paper, we show that any solution of the nonlinear Schrödinger equation iut + ∆u ± |u | 4N u...
We study the existence and stability of standing waves for a system of nonlinear Schrödinger equatio...
We prove that no finite time blow up can occur for nonlinear Schrödinger equations with quadratic po...
Abstract. We consider equations of nonlinear Schrödinger type augmented by nonlinear damping terms....
AbstractIn this article we investigate the possibility of finite time blow-up in H1(R2) for solution...
SIAM J. Math. Anal. 35 (2003), no. 4, 823-843We study the Cauchy problem for Schrödinger equations w...
We consider the critical nonlinear Schrödinger equation iut = −∆u − |u | 4N u with initial condition...
In this paper, we consider the nonlinear Schr�odinger equation with the super critical powerof nonli...
In this paper, we consider the nonlinear Schrödinger equation with the super critical power of nonli...
International audienceWe consider the nonlinear Schr\"odinger equation \[ u_t = i \Delta u + | u |^\...
Abstract. We consider solutions u to the 3d nonlinear Schrödinger equation i∂tu+ ∆u + |u|2u = 0. In...
We consider the critical nonlinear Schr¿odinger equation iut = -.u-|u| 4 N u with initial condition ...
International audienceWe revisit the finite time blow-up for the fourth-order Schrödinger equation w...
By introducing a growth condition and using an iterative technique, we establish the results for the...
International audienceWe consider a class of the focusing nonlinear Schr\"odinger equation with inve...
In this paper, we show that any solution of the nonlinear Schrödinger equation iut + ∆u ± |u | 4N u...
We study the existence and stability of standing waves for a system of nonlinear Schrödinger equatio...