Refined estimates for the propagation speed of the transition solution to a free boundary problem with a nonlinearity of combustion type

Chengxia Lei, Hiroshi Matsuzawa, Rui Peng +1

We are concerned with the nonlinear problem $u_t=u_{xx}+f(u)$, where $f$ is of combustion type, coupled with the Stefan-type free boundary $h(t)$. According to [4,5], for some crit…