Strong Instability of Ground States to a Fourth Order Schrödinger Equation
Casteras, Jean-Baptiste ; Bonheure, Denis ; Gou, Tianxiang ; Jeanjean, Louis
HAL, hal-01665513 / Harvested from HAL
Text on HAL
In this note, we prove the instability by blow-up of the ground state solutions for a class of fourth order Schrödinger equations. This extends the first rigorous results on blowing-up solutions for the biharmonic nonlinear Schrödinger due to Boulenger and Lenzmann [8] and confirm numerical conjectures from [1–3, 11].
Publié le : 2017-11-07
Classification:  [MATH]Mathematics [math],  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] 
@article{hal-01665513,
     author = {Casteras, Jean-Baptiste and Bonheure, Denis and Gou, Tianxiang and Jeanjean, Louis},
     title = {Strong Instability of Ground States to a Fourth Order Schr\"odinger Equation},
     journal = {HAL},
     volume = {2017},
     number = {0},
     year = {2017},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01665513}
}

Casteras, Jean-Baptiste; Bonheure, Denis; Gou, Tianxiang; Jeanjean, Louis. Strong Instability of Ground States to a Fourth Order Schrödinger Equation. HAL, Tome 2017 (2017) no. 0, . http://gdmltest.u-ga.fr/item/hal-01665513/