2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/172489In this paper we consider a Schrodinger equation on the circle with a quadratic nonlinearity. Thanks to an explicit computation of the first Picard iterate, we give a precision on the dynamic of the solution, whose existence was proved by C. E. Kenig, G. Ponce and L. Vega. We also show that the equation is well-posed in a space based on Lp norms in frequencies.23 pages, 0 figureAnalysis of PDEs35A07; 35B35 ; 35B45; 35Q55text