87 citations · 515 across the 26 of their papers we have counts for
29 papers
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…
The almost optimal multilinear restriction estimate for hypersurfaces with curvature: the case of hypersurfaces in R^n
Ioan Bejenaru
In this paper we establish the optimal multilinear restriction estimate for n-1 hypersurfaces with some curvature, where is the dimension of the underlying space. The result is…
The multilinear restriction estimate: almost optimality and localization
Ioan Bejenaru
The first result in this paper provides a very general -removal argument for the multilinear restriction estimate. The second result provides a refinement of the multilinear res…
Optimal multilinear restriction estimates for a class of surfaces with curvature
Ioan Bejenaru
Bennett, Carbery and Tao considered the -linear restriction estimate in and established the near optimal estimate under transversality assumpt…