## References

SHOWING 1-10 OF 25 REFERENCES

### Scattering for the 𝐿² supercritical point NLS

- Mathematics
- 2019

We consider the 1D nonlinear Schrodinger equation with focusing point nonlinearity. "Point" means that the pure-power nonlinearity has an inhomogeneous potential and the potential is the delta…

### Mass-energy threshold dynamics for dipolar quantum gases

- Mathematics, PhysicsCommunications in Mathematical Sciences
- 2022

We consider a Gross-Pitaevskii equation which appears as a model in the description of dipolar Bose-Einstein condensates, without a confining external trapping potential. We describe the asymptotic…

### Going Beyond the Threshold: Scattering and Blow-up in the Focusing NLS Equation

- Mathematics, Physics
- 2014

We study the focusing nonlinear Schrödinger equation $${i\partial_t u +\Delta u + |u|^{p-1}u=0}$$i∂tu+Δu+|u|p-1u=0, $${x \in \mathbb{R}^N}$$x∈RN in the L2-supercritical regime with finite energy and…

### A new proof of scattering below the ground state for the non-radial focusing NLS

- Mathematics
- 2017

We revisit the scattering result of Duyckaerts, Holmer, and Roudenko for the non-radial $\dot H^{1/2}$-critical focusing NLS. By proving an interaction Morawetz inequality, we give a simple proof of…

### Global Dynamics below the standing waves for the focusing semilinear Schr\"{o}dinger equation with a repulsive Dirac delta potential

- Mathematics
- 2016

We consider the focusing mass supercritical semilinear Schr\"{o}dinger equation with a repulsive Dirac delta potential on the real line (deltaNLS). Our aim in the present paper is to find a necessary…

### Stability of standing waves for a nonlinear Schrödinger equation with a repulsive Dirac delta potential

- Mathematics
- 2007

We consider a stationary nonlinear Schrödinger equation with a repulsive delta-function impurity in one space dimension. This equation admits a unique positive solution and this solution is even. We…

### A Class of Nonlinear Schro dinger Equations with Concentrated Nonlinearity

- Mathematics
- 2001

Abstract We consider the nonlinear Schrodinger equation in dimension one with a nonlinearity concentrated in a finite number of points. Detailed results on the local existence of the solution in…