Local well-posedness for a higher order nonlinear Schrödinger equation in Sobolev spaces of negative indices. Carvajal, Xavier — 2004 Electronic Journal of Differential Equations (EJDE) [electronic only]
A note on local smoothing effects for the unitary group associated with the KdV equation. Carvajal, Xavier — 2008 Electronic Journal of Differential Equations (EJDE) [electronic only]
Well-posedness for some perturbations of the KdV equation with low regularity data. Carvajal, Xavier; Panthee, Mahendra — 2008 Electronic Journal of Differential Equations (EJDE) [electronic only]
Persistence of solutions to nonlinear evolution equations in weighted Sobolev spaces. Carvajal, Xavier Paredes; Romero, Pedro Gamboa — 2010 Electronic Journal of Differential Equations (EJDE) [electronic only]