3 papers
math.AP2026
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…
math.AP2025
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…
math.AP2024
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 adm…