李晓光;张健;吴永光
Li Xiaoguang;Zhang Jian;Wu Yonghong
摘要: In this article, the authors consider the collapse solutions of Cauchy problem
for the nonlinear Schrödinger equation i Ψ t + 1/ 2 △ Ψ- 1 /2 ω2|x|2 ψ+|ψ|2ψ = 0, x ∈ R2, which models the Bose-Einstein condensate with attractive interactions. The authors establish the lower bound of collapse rate as t → T. Furthermore, the L2-concentration property of the radially symmetric collapse solutions is obtained.
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