Details

Autor(en) / Beteiligte

• Tang, Xing Dong
• Zhang, Ji Hui

Titel

On the blowup phenomenon for N-coupled focusing Schrodinger system in a,, super( )d(d greater than or equal to 3)

Ist Teil von

• Acta mathematica Sinica. English series, 2014-07, Vol.30 (7), p.1161-1179

Erscheinungsjahr

2014

Link zum Volltext

Quelle

springer (창간호~2014)

Beschreibungen/Notizen

• We study blow-up, global existence and ground state solutions for the N-coupled focusing nonlinear Schrodinger equations. Firstly, using the Nehari manifold approach and some variational techniques, the existence of ground state solutions to the equations (CNLS) is established. Secondly, under certain conditions, finite time blow-up phenomena of the solutions is derived. Finally, by introducing a refined version of compactness lemma, the L super(2) concentration for the blow-up solutions is obtained.