87 citations · 515 across the 26 of their papers we have counts for
24 papers · 1 filter
Transference theory for the trilinear restriction estimate and an application to the quadratic NLS in 3D
Ioan Bejenaru, Vitor Borges, Tiklung Chan
In this article we develop a theory for effectively transferring trilinear restriction estimates for the Schrödinger equation to functions in a more general resolution space adapte…
A new resolution space for nonlinear Schrödinger equations and applications
Ioan Bejenaru
Resolution spaces play a central role in constructing solutions for nonlinear partial differential equations. One of the main goals in the area of nonlinear dispersive PDEs has bee…
Global well-posedness and scattering for the massive Dirac-Klein-Gordon system in two dimensions
Ioan Bejenaru, Vitor Borges
We prove global well-posedness and scattering for the massive Dirac-Klein-Gordon system with small and low regularity initial data in dimension two. To achieve this, we impose a no…
Near soliton evolution for -equivariant Schrödinger Maps in two space dimensions
Ioan Bejenaru, Mohandas Pillai, Daniel Tataru
We consider equivariant solutions for the Schrödinger Map equation in dimensions, with values into . Within each equivariance class this admi…
Well-posedness and scattering for the Zakharov system in four dimensions
Ioan Bejenaru, Zihua Guo, Sebastian Herr +1
The Cauchy problem for the Zakharov system in four dimensions is considered. Some new well-posedness results are obtained. For small initial data, global well-posedness and scatter…
The cubic Dirac equation: Small initial data in
Ioan Bejenaru, Sebastian Herr
Global well-posedness and scattering for the cubic Dirac equation with small initial data in the critical space is established. The proof is based on a…