2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64362The authors use steepest descent ideas to obtain a priori $L^p$ estimates for solutions of Riemann-Hilbert Problems. Such estimates play a crucial role, in particular, in analyzing the long-time behavior of solutions of the perturbed nonlinear Schrödinger equation on the line.Classical Analysis and ODEsFunctional Analysis45B05; 45E05; 81R12A priori $L^p$ estimates for solutions of Riemann-Hilbert Problemstext