%0 Journal Article
%A Díaz Díaz, Jesús Ildefonso
%T A note on spatial uniformation for Fisher-KPPtype equations with a concentration dependentdiffusion
%D 2012
%@ 1752-3583
%U https://hdl.handle.net/20.500.14352/44514
%X We prove a pointwise gradient estimate for the solution of the Cauchy problem associated to the quasilinear Fisher-KPP type equation with a diffusion coefficient ϕ(u) satisfying that ϕ(0) = 0, ϕ(1) = 1 and a source term ψ(u) which is vanishing only for levels u = 0 and u = 1. As consequence we prove that the bounded weak solution becomes instantaneously a continuous function even if the initial datum is merely a bounded function.
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