Blow-up solutions for N coupled Schrodinger equations
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Date
2007-04-22
Authors
Chen, Jianqing
Guo, Boling
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
It is proved that blow-up solutions to N coupled Schrödinger equations
iϕjt + ϕjxx + μj|ϕj|p-2 ϕj + ∑Nk≠j, k=1 βkj|ϕk|pk|ϕj|pj-2 ϕj = 0
exist only under the condition that the initial data have strictly negative energy.
Description
Keywords
Blow-up solutions, Coupled Schrödinger equations
Citation
Chen, J., & Guo, B. (2007). Blow-up solutions for N coupled Schrodinger equations. <i>Electronic Journal of Differential Equations, 2007</i>(61), pp. 1-10.