5 citations · 6 across the 2 of their papers we have counts for
3 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 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 in dimension and for slightly supercritical nonlinearities $p_c<p<(1…
math.DS2005
Almost global existence for Hamiltonian semi-linear Klein-Gordon equations with small Cauchy data on Zoll manifolds
Dario Bambusi, Jean-Marc Delort, Benoit Grebert +1
This paper is devoted to the proof of almost global existence results for Klein-Gordon equations on Zoll manifolds (e.g. spheres of arbitrary dimension) with Hamiltonian nonlineari…