Stable self similar blow up dynamics for slightly L^2 supercritical NLS equations

Mathematics – Analysis of PDEs

Scientific paper

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Scientific paper

We consider the focusing nonlinear Schr\"odinger equations $i\partial_t u+\Delta u +u|u|^{p-1}=0$ in dimension $1\leq N\leq 5$ and for slightly $L^2$ supercritical nonlinearities $p_c

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