J. Szeftel

activity

20052010

most citedThe instability of Bourgain-Wang solutions for the L^2 critical NLS

5 citations · 6 across the 2 of their papers we have counts for

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math.AP2010★ 5 cited

The instability of Bourgain-Wang solutions for the L^2 critical NLS

Frank Merle, Pierre Raphael, Jeremie Szeftel

We consider the two dimensional $L^{2}$ critical nonlinear Schrödinger equation $i\pa_tu+Δu+u|u|^2=0$. In the pioneering work \cite{BW}, Bourgain and Wang have constructed smooth sol…

math.AP2009★ 1 cited

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

Frank Merle, Pierre Raphael, Jeremie Szeftel

We consider the focusing nonlinear Schrödinger equations $i \partial_{t} u + Δ u + u ∣ u ∣^{p - 1} = 0$ in dimension $1 \leq N \leq 5$ and for slightly $L^{2}$ supercritical nonlinearities $p_c<p<(1…