35 citations · 218 across the 27 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 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.NA2010
Optimized Schwarz waveform relaxation and discontinuous Galerkin time stepping for heterogeneous problems
Laurence Halpern, Jérémie Szeftel, Caroline Japhet
We design and analyze a Schwarz waveform relaxation algorithm for domain decomposition of advection-diffusion-reaction problems with strong heterogeneities. The interfaces are curv…
math.AP2010★ 1 cited
Existence and uniqueness of minimal blow up solutions to an inhomogeneous mass critical NLS
Pierre Raphael, Jeremie Szeftel
We consider the 2-dimensional focusing mass critical NLS with an inhomogeneous nonlinearity: . From standard argument, there exists a threshold $M_k…