F. Merle

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

5 citations · 8 across the 2 of their papers we have counts for

collaborators

2 papers

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.AP2006★ 3 cited

Blow up of the critical norm for some radial L^2 super critical nonlinear Schrodinger equations

Frank Merle, Pierre Raphael

We consider the nonlinear Schrödinger equation $i u_{t} = - Δ u - ∣ u ∣^{p - 1} u$ in dimension $N \geq 3$ in the $L^{2}$ super critical range $1 + \frac{4}{N} < p < \frac{N + 2}{N - 2}$ . The corresponding s…