Results 61 to 70 of about 2,009 (123)

Blow-up of solutions to cubic nonlinear Schrödinger equations with defect: The radial case

Advances in Nonlinear Analysis, 2017
In this article we investigate both numerically and theoretically the influence of a defect on the blow-up of radial solutions to a cubic NLS equation in dimension 2.
Goubet Olivier, Hamraoui Emna
doaj   +1 more source

Mass Concentration and Asymptotic Uniqueness of Ground State for 3-Component BEC with External Potential in ℝ2

Advanced Nonlinear Studies, 2021
We investigate the ground states of 3-component Bose–Einstein condensates with harmonic-like trapping potentials in ℝ2{\mathbb{R}^{2}}, where the intra-component interactions μi{\mu_{i}} and the inter-component interactions βi⁢j=βj⁢i{\beta_{ij}=\beta_{ji}
Kong Yuzhen, Wang Qingxuan, Zhao Dun
doaj   +1 more source

Uniqueness of the modified Schroedinger map in H^{3/4+e}(R^2) [PDF]

arXiv, 2005
We establish local well-posedness of the modified Schroedinger map in H^s, s>3/4.
arxiv  

Cubic Derivative Nonlinear Schrodinger has Blowup Solutions [PDF]

arXiv, 2007
This paper is painfully withdrawn.
arxiv  

Asymptotic Stability of Nonlinear Schrödinger Equations with Potential [PDF]

, 2004
We prove asymptotic stability of trapped solitons in the generalized nonlinear Schr\"odinger equation with a potential in dimension 1 and for even potential and even initial conditions.
arxiv   +1 more source

Concave-convex nonlinearities for some nonlinear fractional equations involving the Bessel operator [PDF]

arXiv, 2016
We prove some existence results for a class of nonlinear fractional equations driven by a nonlocal operator.
arxiv  

On defocusing coupled nonlinear Schrodinger equations [PDF]

arXiv, 2015
The initial value problem for some defocusing coupled nonlinear Schrodinger equations is investigated. Global well-posedness and scattering are established.
arxiv  

Perturbation results for some nonlinear equations involving fractional operators [PDF]

arXiv, 2012
By using a perturbation technique in critical point theory, we prove the existence of solutions for two types of nonlinear equations involving fractional differential operators.
arxiv  

Concentration of blow-up solutions for the Gross-Pitaveskii equation

Advances in Nonlinear Analysis
We consider the blow-up solutions for the Gross-Pitaveskii equation modeling the attractive Boes-Einstein condensate. First, a new variational characteristic is established by computing the best constant of a generalized Gagliardo-Nirenberg inequality ...
Zhu Shihui
doaj   +1 more source

Stable manifolds for all monic supercritical NLS in one dimension [PDF]

arXiv, 2005
We show that all supercritical monic focusing NLS in one space dimension exhibit asymptotic stability of perturbed standing waves provided the perturbations are chosen on a small hypersuface in a suitable space.
arxiv