On a nonlocal, nonlinear Schrödinger equation occuring in Plasma Physics
Colin, Thierry
HAL, hal-00848075 / Harvested from HAL
Text on HAL
In this work, our goal is to study the Cauchy problem for a nonlocal, nonlinear Schr ̈odinger equation occuring in Plasma Physics. We shall construct solutions in the energy space; we give some sufficient conditions on the initial data which ensure that the solutions are global and we show that in some cases, finite time blow up occurs. We prove the existence of standing waves, solution to these equations and provide some stability results.
Publié le : 1992-07-05
Classification:  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] 
@article{hal-00848075,
     author = {Colin, Thierry},
     title = {On a nonlocal, nonlinear Schr\"odinger equation occuring in Plasma Physics},
     journal = {HAL},
     volume = {1992},
     number = {0},
     year = {1992},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00848075}
}

Colin, Thierry. On a nonlocal, nonlinear Schrödinger equation occuring in Plasma Physics. HAL, Tome 1992 (1992) no. 0, . http://gdmltest.u-ga.fr/item/hal-00848075/