Díaz Díaz, Jesús Ildefonso2023-06-202023-06-2020101752-3583https://hdl.handle.net/20.500.14352/44520We prove a pointwise gradient estimate for the bounded weak solution of the Cauchy problem associated to the quasilinear Fisher-KPP type equation ut ='(u)xx + (u) when ' satisÖes that '(0)=0; and (u) is vanishing only for levels u = 0 and u = 1. As a Örst consequence we prove that the bounded weak solution becomes instantaneously a continuous function even if the initial datum is merely a discontinuous bounded function. Moreover the obtained estimates also prove the stabilization of the gradient of bounded weak solutions as t ! +1 for suitable initial data.engjournal articlehttp://www.inderscience.com/open access517.9Ecuaciones diferenciales1202.07 Ecuaciones en Diferencias