Semiclassical nonlinear Schrödinger equations with potential and focusing initial data
Carles, Rémi ; Miller, Luc
HAL, hal-00004969 / Harvested from HAL
Text on HAL
We study the asymptotic behaviour of solutions to semi-classical nonlinear Schrödinger equations with a potential, for concentrating and oscillating initial data, when the nonlinearity is repulsive and the potential is a polynomial of degree at most two. We describe the separate roles of the nonlinearity and of the potential, with tools which seem to be specific to the class of potentials that we consider. We also discuss the case of more general subquadratic potentials.
Publié le : 2004-07-05
Classification:  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP],  [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph],  [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph] 
@article{hal-00004969,
     author = {Carles, R\'emi and Miller, Luc},
     title = {Semiclassical nonlinear Schr\"odinger equations with potential and focusing initial data},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00004969}
}

Carles, Rémi; Miller, Luc. Semiclassical nonlinear Schrödinger equations with potential and focusing initial data. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00004969/