2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/101061We prove that the periodic initial value problem for the modified Hunter-Saxton equation is locally well-posed for continuously differentiable initial data. We also study the analytic regularity of this problem and prove a Cauchy-Kowalevski type theorem.Analysis of PDEs35Q53, 35Q05, 35A10, 37K65text