Geodesic
Blow-up solutions for \(N\) coupled Schrödinger equations
Electronic journal of differential equations, Tome 2007 (2007)
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__a136,
     author = {Chen,  Jianqing and Guo,  Boling},
     title = {Blow-up solutions for {\(N\)} coupled {Schr\"odinger} equations},
     journal = {Electronic journal of differential equations},
     year = {2007},
     volume = {2007},
     zbl = {1133.35090},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a136/}
}
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JO  - Electronic journal of differential equations
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%T Blow-up solutions for \(N\) coupled Schrödinger equations
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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__a136/