Abstract
In this paper, we study the Hs-stability of the log-log blowup regime (which has been completely described in a series of recent works by Merle and Raphaël) for the focusing mass-critical nonlinear Schrödinger equations i∂tu+Δu+|u|4du=0 in Rd with d≥3. We aim to extend the result in Colliander and Raphael (2009) [5] for dimension two to the higher dimensions cases d≥3, where we use the bootstrap argument in the above paper and the commutator estimates in Visan and Zhang (2007) [24].
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