Geodesic
Blow-up solutions for $N$ coupled Schrödinger equations
Electronic Journal of Differential Equations, Tome 2007 (2007).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: It is proved that blow-up solutions to N coupled Schrodinger equations $$ i\varphi_{jt} + \varphi_{jxx} + \mu_j|\varphi_j|^{p-2}\varphi_j +\sum_{k\neq j,\;k=1}^N\beta_{kj}|\varphi_k|^{p_k}|\varphi_j|^{p_j-2} \varphi_j=0 $$ exist only under the condition that the initial data have strictly negative energy.
Classification : 35Q55, 35B35
Keywords: blow-up solutions, coupled Schrödinger equations 
@article{EJDE_2007__2007__a36,
     author = {Chen, Jianqing and Guo, Boling},
     title = {Blow-up solutions for $N$ coupled {Schr\"odinger} equations},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2007},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a36/}
}
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Chen, Jianqing; Guo, Boling. Blow-up solutions for $N$ coupled Schrödinger equations. Electronic Journal of Differential Equations, Tome 2007 (2007). http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a36/