%0 Journal Article %A Friedman, Avner %A Herrero, Miguel A. %T Extinction properties of semilinear heat-equations with strong absorption %D 1987 %@ 0022-247X %U https://hdl.handle.net/20.500.14352/57783 %X Consider the initial-boundary value problem for ut=Δu-λu(q) with λ>0, 0<q<1; the initial data are nonnegative and the boundary data vanish. It is well known that the solution becomes extinct in finite time Τ, i.e., u(x, t) becomes identically zero for t ≥ T, where T is some positive number. In this paper we study the profile of x → u(x, t) as t → T. %~