Existence of global solutions to the Fokas-Lenells equation with arbitrary spectral singularities

Yuan Li, Qiaoyuan Cheng, Engui Fan

We establish the global existence of solutions to the Fokas-Lenells equation for any initial data in a weighted Sobolev space $H^3(\mathbb{R})\cap H^{2,1}(\mathbb{R})$.This resul…