Electronic Journal of Differential Equations,
Vol. 2007(2007), No. 61, pp. 1-10.
Title: Blow-up solutions for N coupled Schrodinger equations
Authors: Jianqing Chen (Fujian Normal Univ., Fuzhou, China)
Boling Guo (Institute of Applied Phys. and Math., Beijing, China)
Abstract:
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.
Submitted May 29, 2006. Published April 22, 2007.
Math Subject Classifications: 35Q55, 35B35.
Key Words: Blow-up solutions; coupled Schrodinger equations.