Large time behaviour of solutions of the porous media equation with absorption
We study the large time behaviour of nonnegative solutions of the Cauchy problemut=Δum −up,u(x, 0)=φ(x). Specifically we study the influence of the rate of decay ofφ(x) for large |x|, and the competition between the diffusion and the absorption term.
- 6.H. Brézis, L. A. Peletier and D. Terman,A very singular solution of the heat equation with absorption, Arch. Rat. Mech. Anal., to appear.Google Scholar
- 9.M. Escobedo and O. Kavian,Asymptotic behaviour of positive solutions of a nonlinear heat equation, to appear.Google Scholar
- 17.S. Kamin and M. Ughi, to appear.Google Scholar
- 18.F. B. Weissler,Rapidly decaying solutions of an ODE with application to semilinear elliptic and parabolic PDE’s, to appear.Google Scholar