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- W2952022019 abstract "We consider the focusing nonlinear Schrodinger equations $ipartial_t u+Delta u +u|u|^{p-1}=0$ in dimension $1leq Nleq 5$ and for slightly $L^2$ supercritical nonlinearities $p_c<p<(1+e)p_c$ with $p_c=1+frac{4}{N}$ and $0<ell 1$. We prove the existence and stability in the energy space $H^1$ of a self similar finite time blow up dynamics and provide a qualitative description of the singularity formation near the blow up time" @default.
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- W2952022019 date "2009-07-23" @default.
- W2952022019 modified "2023-10-15" @default.
- W2952022019 title "Stable self similar blow up dynamics for slightly L^2 supercritical NLS equations" @default.
- W2952022019 hasPublicationYear "2009" @default.
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