Stable self similar blow up dynamics for slightly L² supercritical NLS equations

2009/07/23 by Merle, Frank, Raphael, Pierre, Szeftel, Jeremie · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.0907.4098

Abstract

We consider the focusing nonlinear Schrödinger equations i∂_t u+Δu +u|u|^p-1=0 in dimension 1≤ N≤ 5 and for slightly L² supercritical nonlinearities p_c

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