A nonlinear diffusion equation with reaction localized to the half-line

Raúl Ferreira, Arturo de Pablo

We study the behaviour of the solutions to the quasilinear heat equation with a reaction restricted to a half-line $$u_t=(u^m{)}_{xx}+a(x)u^p,$$ $m,p>0$ and $a(x)=1$ for $x>0$, $…