RT Journal Article
T1 Pointwise gradient estimates and stabilization for Fisher-KPP type equations with a concentration dependent diffusion
A1 Díaz Díaz, Jesús Ildefonso
AB We 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.
PB Inderscience publishers
SN 1752-3583
YR 2010
FD 2010
LK https://hdl.handle.net/20.500.14352/44520
UL https://hdl.handle.net/20.500.14352/44520
LA eng
NO Unión Europea. FP7
NO DGISPI (Spain)
NO UCM
DS Docta Complutense
RD 29 jun 2025