2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/109119In this paper we consider the local well-posedness theory for the quadratic nonlinear Schrödinger equation with low regularity initial data in the case when the nonlinearity contains derivatives. We work in 2+1 dimensions and prove a local well-posedness result close to scaling for small initial data.a typo in the statement of the main theorem has been correctedAnalysis of PDEs35K55text