2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/106056In 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 up to the scaling for small initial data with some spherical symmetry structure.Analysis of PDEs35K55text